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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:
ORCiD logo [1]; ORCiD logo [2];  [3];  [4]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  2. Duke Univ., Durham, NC (United States)
  3. National Univ. of Singapore (Singapore)
  4. The Ohio State Univ., Columbus, OH (United States)
Publication Date:
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.
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. doi:10.1063/1.5024318.
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. doi:10.1063/1.5024318. https://www.osti.gov/servlets/purl/1439151.
@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 = {2018},
month = {3}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 1 work
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Figures / Tables:

FIG. 1 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.

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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


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


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


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

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

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

  • 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

The security of practical quantum key distribution
journal, September 2009

  • Scarani, Valerio; Bechmann-Pasquinucci, Helle; Cerf, Nicolas J.
  • Reviews of Modern Physics, Vol. 81, Issue 3
  • DOI: 10.1103/RevModPhys.81.1301

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

  • 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


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