Reconfigurable generation and measurement of mutually unbiased bases for time-bin qudits

Lukens, Joseph M.; Islam, Nurul T.; Lim, Charles Ci Wen; Gauthier, Daniel J.

doi:10.1063/1.5024318

Title: Reconfigurable generation and measurement of mutually unbiased bases for time-bin qudits

Abstract

Here, we propose a method for implementing mutually unbiased generation and measurement of time-bin qudits using a cascade of electro-optic phase modulator–coded fiber Bragg grating pairs. Our approach requires only a single spatial mode and can switch rapidly between basis choices. We obtain explicit solutions for dimensions d = 2, 3, and 4 that realize all d + 1 possible mutually unbiased bases and analyze the performance of our approach in quantum key distribution. Given its practicality and compatibility with current technology, our approach provides a promising springboard for scalable processing of high-dimensional time-bin states.

Authors:

^[1];

^[2]; Lim, Charles Ci Wen ^[3]; Gauthier, Daniel J. ^[4]

Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Duke Univ., Durham, NC (United States)
National Univ. of Singapore (Singapore)
The Ohio State Univ., Columbus, OH (United States)

Publication Date:: Mon Mar 12 00:00:00 EDT 2018

Research Org.:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1439151

Alternate Identifier(s):: OSTI ID: 1426017

Grant/Contract Number:: AC05-00OR22725; Wigner Fellowship

Resource Type:: Accepted Manuscript

Journal Name:: Applied Physics Letters

Additional Journal Information:: Journal Volume: 112; Journal Issue: 11; Journal ID: ISSN 0003-6951

Publisher:: American Institute of Physics (AIP)

Country of Publication:: United States

Language:: English

Subject:: 42 ENGINEERING

Citation Formats


                    Lukens, Joseph M., Islam, Nurul T., Lim, Charles Ci Wen, and Gauthier, Daniel J. Reconfigurable generation and measurement of mutually unbiased bases for time-bin qudits.  United States: N. p., 2018. 
Web.  doi:10.1063/1.5024318.

Copy to clipboard


                    Lukens, Joseph M., Islam, Nurul T., Lim, Charles Ci Wen, & Gauthier, Daniel J. Reconfigurable generation and measurement of mutually unbiased bases for time-bin qudits.  United States.  https://doi.org/10.1063/1.5024318

Copy to clipboard


                    Lukens, Joseph M., Islam, Nurul T., Lim, Charles Ci Wen, and Gauthier, Daniel J. Mon .  
"Reconfigurable generation and measurement of mutually unbiased bases for time-bin qudits".  United States.  https://doi.org/10.1063/1.5024318.  https://www.osti.gov/servlets/purl/1439151.

Copy to clipboard


                    
@article{osti_1439151,

  title        = {Reconfigurable generation and measurement of mutually unbiased bases for time-bin qudits},

  author       = {Lukens, Joseph M. and Islam, Nurul T. and Lim, Charles Ci Wen and Gauthier, Daniel J.},

  abstractNote = {Here, we propose a method for implementing mutually unbiased generation and measurement of time-bin qudits using a cascade of electro-optic phase modulator–coded fiber Bragg grating pairs. Our approach requires only a single spatial mode and can switch rapidly between basis choices. We obtain explicit solutions for dimensions d = 2, 3, and 4 that realize all d + 1 possible mutually unbiased bases and analyze the performance of our approach in quantum key distribution. Given its practicality and compatibility with current technology, our approach provides a promising springboard for scalable processing of high-dimensional time-bin states.},

  doi          = {10.1063/1.5024318},

  journal      = {Applied Physics Letters},

  number       = 11,

  volume       = 112,

  place        = {United States},

  year         = {Mon Mar 12 00:00:00 EDT 2018},

  month        = {Mon Mar 12 00:00:00 EDT 2018}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1063/1.5024318

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 10 works

Citation information provided by
Web of Science

Figures / Tables:

FIG. 1: Proposed system. The input state propagates through a series of N unit cells, each comprising an EOM and coded FBG. Ideally the input-to-output path produces a one-to-one mapping between states from different bases.

All figures and tables (12 total)

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Proof-of-principle experimental realization of a qubit-like qudit-based quantum key distribution scheme
journal, March 2018

Wang, Shuang; Yin, Zhen-Qiang; Chau, H. F.
Quantum Science and Technology, Vol. 3, Issue 2
DOI: 10.1088/2058-9565/aaace4

A 16-Channel Reconfigurable OCDMA/DWDM System Using Continuous Phase-Shift SSFBGs
journal, January 2007

Tian, Chun; Zhang, Zhaowei; Ibsen, Morten
IEEE Journal of Selected Topics in Quantum Electronics, Vol. 13, Issue 5
DOI: 10.1109/JSTQE.2007.897668

Provably secure and high-rate quantum key distribution with time-bin qudits
journal, November 2017

Islam, Nurul T.; Lim, Charles Ci Wen; Cahall, Clinton
Science Advances, Vol. 3, Issue 11
DOI: 10.1126/sciadv.1701491

Reconfigurable multilevel phase-shift keying encoder-decoder for all-optical networks
journal, March 2003

Mokhtar, M. R.; Ibsen, M.; Teh, P. C.
IEEE Photonics Technology Letters, Vol. 15, Issue 3
DOI: 10.1109/LPT.2003.807902

26 Tbit s−1 line-rate super-channel transmission utilizing all-optical fast Fourier transform processing
journal, May 2011

Hillerkuss, D.; Schmogrow, R.; Schellinger, T.
Nature Photonics, Vol. 5, Issue 6
DOI: 10.1038/nphoton.2011.74

Quantum key distribution with 1.25 Gbps clock synchronization
journal, January 2004

Bienfang, J. C.; Gross, A. J.; Mink, A.
Optics Express, Vol. 12, Issue 9
DOI: 10.1364/OPEX.12.002011

On Mutually Unbiased Bases
journal, June 2010

Durt, Thomas; Englert, Berthold-Georg; Bengtsson, Ingemar
International Journal of Quantum Information, Vol. 08, Issue 04
DOI: 10.1142/S0219749910006502

Robust and Stable Delay Interferometers with Application to $d$ -Dimensional Time-Frequency Quantum Key Distribution
journal, April 2017

Islam, Nurul T.; Cahall, Clinton; Aragoneses, Andrés
Physical Review Applied, Vol. 7, Issue 4
DOI: 10.1103/PhysRevApplied.7.044010

Coexistence of High-Bit-Rate Quantum Key Distribution and Data on Optical Fiber
journal, November 2012

Patel, K. A.; Dynes, J. F.; Choi, I.
Physical Review X, Vol. 2, Issue 4
DOI: 10.1103/PhysRevX.2.041010

Frequency-encoded photonic qubits for scalable quantum information processing
journal, December 2016

Lukens, Joseph M.; Lougovski, Pavel
Optica, Vol. 4, Issue 1
DOI: 10.1364/OPTICA.4.000008

Security of Quantum Key Distribution Using $d$ -Level Systems
journal, March 2002

Cerf, Nicolas J.; Bourennane, Mohamed; Karlsson, Anders
Physical Review Letters, Vol. 88, Issue 12
DOI: 10.1103/PhysRevLett.88.127902

Rapidly reconfigurable optical phase encoder-decoders based on fiber Bragg gratings
journal, June 2006

Zhaowei Zhang, ; Mokhtar, M. R.
IEEE Photonics Technology Letters, Vol. 18, Issue 11
DOI: 10.1109/LPT.2006.875062

Three Ways to Look at Mutually Unbiased Bases
conference, January 2007

Bengtsson, Ingemar
FOUNDATIONS OF PROBABILITY AND PHYSICS - 4, AIP Conference Proceedings
DOI: 10.1063/1.2713445

Improving the timing jitter of a superconducting nanowire single-photon detection system
journal, January 2017

Wu, Junjie; You, Lixing; Chen, Sijing
Applied Optics, Vol. 56, Issue 8
DOI: 10.1364/AO.56.002195

All-Optical Sampling Orthogonal Frequency-Division Multiplexing Scheme for High-Speed Transmission System
journal, November 2009

Hongwei Chen,
Journal of Lightwave Technology, Vol. 27, Issue 21
DOI: 10.1109/JLT.2009.2029063

A review of lithium niobate modulators for fiber-optic communications systems
journal, January 2000

Wooten, E. L.; Kissa, K. M.; Yi-Yan, A.
IEEE Journal of Selected Topics in Quantum Electronics, Vol. 6, Issue 1
DOI: 10.1109/2944.826874

Quantum cryptography
journal, March 2002

Gisin, Nicolas; Ribordy, Grégoire; Tittel, Wolfgang
Reviews of Modern Physics, Vol. 74, Issue 1
DOI: 10.1103/RevModPhys.74.145

High-performance optical code generation and recognition by use of a 511-chip, 640-Gchip/s phase-shifted superstructured fiber Bragg grating
journal, January 2005

Wang, Xu; Matsushima, Koji; Kitayama, Ken-ichi
Optics Letters, Vol. 30, Issue 4
DOI: 10.1364/OL.30.000355

Security of high-dimensional quantum key distribution protocols using Franson interferometers
journal, May 2013

Brougham, Thomas; Barnett, Stephen M.; McCusker, Kevin T.
Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 46, Issue 10
DOI: 10.1088/0953-4075/46/10/104010

Integrated optomechanical single-photon frequency shifter
journal, October 2016

Fan, Linran; Zou, Chang-Ling; Poot, Menno
Nature Photonics, Vol. 10, Issue 12
DOI: 10.1038/nphoton.2016.206

Code extraction from encoded signal in time-spreading optical code division multiple access
journal, January 2010

Si, Zhijian; Yin, Feifei; Xin, Ming
Optics Letters, Vol. 35, Issue 2
DOI: 10.1364/OL.35.000229

Security proof for quantum key distribution using qudit systems
journal, September 2010

Sheridan, Lana; Scarani, Valerio
Physical Review A, Vol. 82, Issue 3
DOI: 10.1103/PhysRevA.82.030301

Optimal state-determination by mutually unbiased measurements
journal, May 1989

Wootters, William K.; Fields, Brian D.
Annals of Physics, Vol. 191, Issue 2
DOI: 10.1016/0003-4916(89)90322-9

Improving Quantum State Estimation with Mutually Unbiased Bases
journal, July 2010

Adamson, R. B. A.; Steinberg, A. M.
Physical Review Letters, Vol. 105, Issue 3
DOI: 10.1103/PhysRevLett.105.030406

Simple all-optical FFT scheme enabling Tbit/s real-time signal processing
journal, January 2010

Hillerkuss, D.; Winter, M.; Teschke, M.
Optics Express, Vol. 18, Issue 9
DOI: 10.1364/OE.18.009324

Experimental quantum tomography of photonic qudits via mutually unbiased basis
journal, January 2011

Lima, G.; Neves, L.; Guzmán, R.
Optics Express, Vol. 19, Issue 4
DOI: 10.1364/OE.19.003542

Characterization of High-Dimensional Entangled Systems via Mutually Unbiased Measurements
journal, April 2013

Giovannini, D.; Romero, J.; Leach, J.
Physical Review Letters, Vol. 110, Issue 14
DOI: 10.1103/PhysRevLett.110.143601

Quantum cryptography
conference, January 1999

Imoto, N.
Technical Digest. CLEO/Pacific Rim '99. Pacific Rim Conference on Lasers and Electro-Optics (Cat. No.99TH8464)
DOI: 10.1109/cleopr.1999.811587

Quantum key distribution with 1.25 Gbps clock synchronization
conference, January 2004

Bienfang, Joshua C.; Gross, Alex; Mink, Alan
Conference on Lasers and Electro-Optics/International Quantum Electronics Conference and Photonic Applications Systems Technologies
DOI: 10.1364/iqec.2004.ipda8

Quantum cryptography
journal, December 1998

Zbinden, H.; Bechmann-Pasquinucci, H.; Gisin, N.
Applied Physics B: Lasers and Optics, Vol. 67, Issue 6
DOI: 10.1007/s003400050574

The Security of Practical Quantum Key Distribution
text, January 2008

Scarani, Valerio; Bechmann-Pasquinucci, Helle; Cerf, Nicolas J.
arXiv
DOI: 10.48550/arxiv.0802.4155

Improving Quantum State Estimation with Mutually Unbiased Bases
text, January 2008

Adamson, Robert B. A.; Steinberg, Aephraim M.
arXiv
DOI: 10.48550/arxiv.0808.0944

Experimental quantum tomography of photonic qudits via mutually unbiased basis
text, January 2010

Lima, G.; Neves, L.; Guzmán, R.
arXiv
DOI: 10.48550/arxiv.1003.2125

Characterization of high-dimensional entangled systems via mutually unbiased measurements
text, January 2012

Giovannini, D.; Romero, J.; Leach, J.
arXiv
DOI: 10.48550/arxiv.1212.5825

Frequency-encoded photonic qubits for scalable quantum information processing
text, January 2016

Lukens, Joseph M.; Lougovski, Pavel
arXiv
DOI: 10.48550/arxiv.1612.03131

Provably-Secure and High-Rate Quantum Key Distribution with Time-Bin Qudits
text, January 2017

Islam, Nurul T.; Lim, Charles Ci Wen; Cahall, Clinton
arXiv
DOI: 10.48550/arxiv.1709.06135

Security of quantum key distribution using d-level systems
text, January 2001

Cerf, Nicolas J.; Bourennane, Mohamed; Karlsson, Anders
arXiv
DOI: 10.48550/arxiv.quant-ph/0107130

Quantum key distribution with 1.25 Gbps clock synchronization
text, January 2004

Bienfang, J. C.; Gross, A. J.; Mink, A.
arXiv
DOI: 10.48550/arxiv.quant-ph/0405097

Works referencing / citing this record:

Quantum Phase Estimation with Time‐Frequency Qudits in a Single Photon
journal, October 2019

Lu, Hsuan‐Hao; Hu, Zixuan; Alshaykh, Mohammed Saleh
Advanced Quantum Technologies, Vol. 3, Issue 2
DOI: 10.1002/qute.201900074

High-dimensional optical quantum logic in large operational spaces
journal, July 2019

Imany, Poolad; Jaramillo-Villegas, Jose A.; Alshaykh, Mohammed S.
npj Quantum Information, Vol. 5, Issue 1
DOI: 10.1038/s41534-019-0173-8

Scalable high-rate, high-dimensional time-bin encoding quantum key distribution
journal, June 2019

Islam, Nurul T.; Lim, Charles Ci Wen; Cahall, Clinton
Quantum Science and Technology, Vol. 4, Issue 3
DOI: 10.1088/2058-9565/ab21a4

Fully tunable and switchable coupler for photonic routing in quantum detection and modulation
journal, January 2019

Švarc, Vojtěch; Nováková, Martina; Mazin, Glib
Optics Letters, Vol. 44, Issue 23
DOI: 10.1364/ol.44.005844

High-dimensional optical quantum logic in large operational spaces
text, January 2018

Imany, Poolad; Jaramillo-Villegas, Jose A.; Alshaykh, Mohammed S.
arXiv
DOI: 10.48550/arxiv.1805.04410

Fully tunable and switchable coupler for photonic routing in quantum detection and modulation
text, January 2019

Švarc, Vojtěch; Nováková, Martina; Mazin, Glib
arXiv
DOI: 10.48550/arxiv.1905.08431

Quantum Phase Estimation with Time-Frequency Qudits in a Single Photon
text, January 2019

Lu, Hsuan-Hao; Hu, Zixuan; Alshaykh, Mohammed S.
arXiv
DOI: 10.48550/arxiv.1906.11401

Figures / Tables found in this record:

Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.

Similar Records in DOE PAGES and OSTI.GOV collections:

Mutually unbiased bases for time-bin qudits

Conference Lukens, Joseph ; Islam, Nurul ; Lim, Charles C. W. ; ...

We introduce a method for generation and detection of mutually unbiased bases for time-bin qudits employing electro-optic phase modulator – coded fiber Bragg grating pairs. Our approach uses one spatial mode and can switch rapidly between bases.
https://doi.org/10.1364/FIO.2018.JW3A.66

Full Text Available
Toward quantum networking with frequency-bin qudits

Conference Myilswamy, Karthik V. ; Seshadri, Suparna ; Lu, Hsuan-Hao ; ...

Quantum networking holds tremendous promise in transforming computation and communication. Entangled-photon sources are critical for quantum repeaters and networking, while photonic integrated circuits are vital for miniaturization and scalability. In this talk, we focus on generating and manipulating frequency-bin entangled states within integrated platforms. We encode quantum information as a coherent superposition of multiple optical frequencies; this approach is favorable due to its amenability to high-dimensional entanglement and compatibility with fiber transmission. We successfully generate and measure the density matrix of biphoton frequency combs from integrated silicon nitride microrings, fully reconstructing the state in an 8 × 8 two-qudit Hilbertmore »« less
https://doi.org/10.1117/12.3008755

Full Text Available
Mutually unbiased product bases for multiple qudits

Journal Article McNulty, Daniel ; Pammer, Bogdan ; Weigert, Stefan - Journal of Mathematical Physics

We investigate the interplay between mutual unbiasedness and product bases for multiple qudits of possibly different dimensions. A product state of such a system is shown to be mutually unbiased to a product basis only if each of its factors is mutually unbiased to all the states which occur in the corresponding factors of the product basis. This result implies both a tight limit on the number of mutually unbiased product bases which the system can support and a complete classification of mutually unbiased product bases for multiple qubits or qutrits. In addition, only maximally entangled states can be mutuallymore »« less
https://doi.org/10.1063/1.4943301
Block-circulant matrices with circulant blocks, Weil sums, and mutually unbiased bases. II. The prime power case

Journal Article Combescure, Monique - Journal of Mathematical Physics

In our previous paper [Combescure, M., 'Circulant matrices, Gauss sums and the mutually unbiased bases. I. The prime number case', Cubo A Mathematical Journal (unpublished)] we have shown that the theory of circulant matrices allows to recover the result that there exists p+1 mutually unbiased bases in dimension p, p being an arbitrary prime number. Two orthonormal bases B, B{sup '} of C{sup d} are said mutually unbiased if for all b(set-membership sign)B, for all b{sup '}(set-membership sign)B{sup '} one has that |b{center_dot}b{sup '}|=1/{radical}(d) (b{center_dot}b{sup '} Hermitian scalar product in C{sup d}). In this paper we show that the theorymore »« less
https://doi.org/10.1063/1.3078420
Constructing mutually unbiased bases in dimension six

Journal Article Brierley, Stephen ; Weigert, Stefan - Physical Review. A

The density matrix of a qudit may be reconstructed with optimal efficiency if the expectation values of a specific set of observables are known. In dimension six, the required observables only exist if it is possible to identify six mutually unbiased complex (6x6) Hadamard matrices. Prescribing a first Hadamard matrix, we construct all others mutually unbiased to it, using algebraic computations performed by a computer program. We repeat this calculation many times, sampling all known complex Hadamard matrices, and we never find more than two that are mutually unbiased. This result adds considerable support to the conjecture that no sevenmore »« less
https://doi.org/10.1103/PHYSREVA.79.052316

Similar Records

Title: Reconfigurable generation and measurement of mutually unbiased bases for time-bin qudits

Abstract

Citation Formats

Figures / Tables:

Proof-of-principle experimental realization of a qubit-like qudit-based quantum key distribution scheme journal, March 2018

A 16-Channel Reconfigurable OCDMA/DWDM System Using Continuous Phase-Shift SSFBGs journal, January 2007

Provably secure and high-rate quantum key distribution with time-bin qudits journal, November 2017

Reconfigurable multilevel phase-shift keying encoder-decoder for all-optical networks journal, March 2003

26 Tbit s−1 line-rate super-channel transmission utilizing all-optical fast Fourier transform processing journal, May 2011

Quantum key distribution with 1.25 Gbps clock synchronization journal, January 2004

On Mutually Unbiased Bases journal, June 2010

Robust and Stable Delay Interferometers with Application to d -Dimensional Time-Frequency Quantum Key Distribution journal, April 2017

Coexistence of High-Bit-Rate Quantum Key Distribution and Data on Optical Fiber journal, November 2012

Frequency-encoded photonic qubits for scalable quantum information processing journal, December 2016

Security of Quantum Key Distribution Using d -Level Systems journal, March 2002

Rapidly reconfigurable optical phase encoder-decoders based on fiber Bragg gratings journal, June 2006

Three Ways to Look at Mutually Unbiased Bases conference, January 2007

Improving the timing jitter of a superconducting nanowire single-photon detection system journal, January 2017

All-Optical Sampling Orthogonal Frequency-Division Multiplexing Scheme for High-Speed Transmission System journal, November 2009

A review of lithium niobate modulators for fiber-optic communications systems journal, January 2000

Quantum cryptography journal, March 2002

High-performance optical code generation and recognition by use of a 511-chip, 640-Gchip/s phase-shifted superstructured fiber Bragg grating journal, January 2005

Security of high-dimensional quantum key distribution protocols using Franson interferometers journal, May 2013

Integrated optomechanical single-photon frequency shifter journal, October 2016

Code extraction from encoded signal in time-spreading optical code division multiple access journal, January 2010

Security proof for quantum key distribution using qudit systems journal, September 2010

Optimal state-determination by mutually unbiased measurements journal, May 1989

Improving Quantum State Estimation with Mutually Unbiased Bases journal, July 2010

Simple all-optical FFT scheme enabling Tbit/s real-time signal processing journal, January 2010

Experimental quantum tomography of photonic qudits via mutually unbiased basis journal, January 2011

Characterization of High-Dimensional Entangled Systems via Mutually Unbiased Measurements journal, April 2013

Quantum cryptography conference, January 1999

Quantum key distribution with 1.25 Gbps clock synchronization conference, January 2004

Quantum cryptography journal, December 1998

The Security of Practical Quantum Key Distribution text, January 2008

Improving Quantum State Estimation with Mutually Unbiased Bases text, January 2008

Experimental quantum tomography of photonic qudits via mutually unbiased basis text, January 2010

Characterization of high-dimensional entangled systems via mutually unbiased measurements text, January 2012

Frequency-encoded photonic qubits for scalable quantum information processing text, January 2016

Provably-Secure and High-Rate Quantum Key Distribution with Time-Bin Qudits text, January 2017

Security of quantum key distribution using d-level systems text, January 2001

Quantum key distribution with 1.25 Gbps clock synchronization text, January 2004

Quantum Phase Estimation with Time‐Frequency Qudits in a Single Photon journal, October 2019

High-dimensional optical quantum logic in large operational spaces journal, July 2019

Scalable high-rate, high-dimensional time-bin encoding quantum key distribution journal, June 2019

Fully tunable and switchable coupler for photonic routing in quantum detection and modulation journal, January 2019

High-dimensional optical quantum logic in large operational spaces text, January 2018

Fully tunable and switchable coupler for photonic routing in quantum detection and modulation text, January 2019

Quantum Phase Estimation with Time-Frequency Qudits in a Single Photon text, January 2019

Proof-of-principle experimental realization of a qubit-like qudit-based quantum key distribution scheme
journal, March 2018

A 16-Channel Reconfigurable OCDMA/DWDM System Using Continuous Phase-Shift SSFBGs
journal, January 2007

Provably secure and high-rate quantum key distribution with time-bin qudits
journal, November 2017

Reconfigurable multilevel phase-shift keying encoder-decoder for all-optical networks
journal, March 2003

26 Tbit s−1 line-rate super-channel transmission utilizing all-optical fast Fourier transform processing
journal, May 2011

Quantum key distribution with 1.25 Gbps clock synchronization
journal, January 2004

On Mutually Unbiased Bases
journal, June 2010

Robust and Stable Delay Interferometers with Application to $d$ -Dimensional Time-Frequency Quantum Key Distribution
journal, April 2017

Coexistence of High-Bit-Rate Quantum Key Distribution and Data on Optical Fiber
journal, November 2012

Frequency-encoded photonic qubits for scalable quantum information processing
journal, December 2016

Security of Quantum Key Distribution Using $d$ -Level Systems
journal, March 2002

Rapidly reconfigurable optical phase encoder-decoders based on fiber Bragg gratings
journal, June 2006

Three Ways to Look at Mutually Unbiased Bases
conference, January 2007

Improving the timing jitter of a superconducting nanowire single-photon detection system
journal, January 2017

All-Optical Sampling Orthogonal Frequency-Division Multiplexing Scheme for High-Speed Transmission System
journal, November 2009

A review of lithium niobate modulators for fiber-optic communications systems
journal, January 2000

Quantum cryptography
journal, March 2002

High-performance optical code generation and recognition by use of a 511-chip, 640-Gchip/s phase-shifted superstructured fiber Bragg grating
journal, January 2005

Security of high-dimensional quantum key distribution protocols using Franson interferometers
journal, May 2013

Integrated optomechanical single-photon frequency shifter
journal, October 2016

Code extraction from encoded signal in time-spreading optical code division multiple access
journal, January 2010

Security proof for quantum key distribution using qudit systems
journal, September 2010

Optimal state-determination by mutually unbiased measurements
journal, May 1989

Improving Quantum State Estimation with Mutually Unbiased Bases
journal, July 2010

Simple all-optical FFT scheme enabling Tbit/s real-time signal processing
journal, January 2010

Experimental quantum tomography of photonic qudits via mutually unbiased basis
journal, January 2011

Characterization of High-Dimensional Entangled Systems via Mutually Unbiased Measurements
journal, April 2013

Quantum cryptography
conference, January 1999

Quantum key distribution with 1.25 Gbps clock synchronization
conference, January 2004

Quantum cryptography
journal, December 1998

The Security of Practical Quantum Key Distribution
text, January 2008

Improving Quantum State Estimation with Mutually Unbiased Bases
text, January 2008

Experimental quantum tomography of photonic qudits via mutually unbiased basis
text, January 2010

Characterization of high-dimensional entangled systems via mutually unbiased measurements
text, January 2012

Frequency-encoded photonic qubits for scalable quantum information processing
text, January 2016

Provably-Secure and High-Rate Quantum Key Distribution with Time-Bin Qudits
text, January 2017

Security of quantum key distribution using d-level systems
text, January 2001

Quantum key distribution with 1.25 Gbps clock synchronization
text, January 2004

Quantum Phase Estimation with Time‐Frequency Qudits in a Single Photon
journal, October 2019

High-dimensional optical quantum logic in large operational spaces
journal, July 2019

Scalable high-rate, high-dimensional time-bin encoding quantum key distribution
journal, June 2019

Fully tunable and switchable coupler for photonic routing in quantum detection and modulation
journal, January 2019

High-dimensional optical quantum logic in large operational spaces
text, January 2018

Fully tunable and switchable coupler for photonic routing in quantum detection and modulation
text, January 2019

Quantum Phase Estimation with Time-Frequency Qudits in a Single Photon
text, January 2019