Loss-tolerant quantum secure positioning with weak laser sources
Abstract
Quantum position verification (QPV) is the art of verifying the geographical location of an untrusted party. It has recently been shown that the widely studied Bennett & Brassard 1984 (BB84) QPV protocol is insecure after the 3 dB loss point assuming local operations and classical communication (LOCC) adversaries. Here in this paper, we propose a time-reversed entanglement swapping QPV protocol (based on measurement-device-independent quantum cryptography) that is highly robust against quantum channel loss. First, assuming ideal qubit sources, we show that the protocol is secure against LOCC adversaries for any quantum channel loss, thereby overcoming the 3 dB loss limit. Then, we analyze the security of the protocol in a more practical setting involving weak laser sources and linear optics. Lastly, in this setting, we find that the security only degrades by an additive constant and the protocol is able to verify positions up to 47 dB channel loss.
- Authors:
-
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computational Sciences and Engineering Division
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Research Lab. of Electronics
- Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy
- Southern Illinois Univ., Carbonadale, IL (United States)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computational Sciences and Engineering Division; Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- US Department of the Navy, Office of Naval Research (ONR); Work for Others (WFO); USDOE Laboratory Directed Research and Development (LDRD) Program
- OSTI Identifier:
- 1325473
- Alternate Identifier(s):
- OSTI ID: 1324497
- Grant/Contract Number:
- AC05-00OR22725; M614000329
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A
- Additional Journal Information:
- Journal Volume: 94; Journal Issue: 3; Journal ID: ISSN 2469-9926
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 47 OTHER INSTRUMENTATION
Citation Formats
Lim, Charles Ci Wen, Xu, Feihu, Siopsis, George, Chitambar, Eric, Evans, Philip G., and Qi, Bing. Loss-tolerant quantum secure positioning with weak laser sources. United States: N. p., 2016.
Web. doi:10.1103/PhysRevA.94.032315.
Lim, Charles Ci Wen, Xu, Feihu, Siopsis, George, Chitambar, Eric, Evans, Philip G., & Qi, Bing. Loss-tolerant quantum secure positioning with weak laser sources. United States. https://doi.org/10.1103/PhysRevA.94.032315
Lim, Charles Ci Wen, Xu, Feihu, Siopsis, George, Chitambar, Eric, Evans, Philip G., and Qi, Bing. Wed .
"Loss-tolerant quantum secure positioning with weak laser sources". United States. https://doi.org/10.1103/PhysRevA.94.032315. https://www.osti.gov/servlets/purl/1325473.
@article{osti_1325473,
title = {Loss-tolerant quantum secure positioning with weak laser sources},
author = {Lim, Charles Ci Wen and Xu, Feihu and Siopsis, George and Chitambar, Eric and Evans, Philip G. and Qi, Bing},
abstractNote = {Quantum position verification (QPV) is the art of verifying the geographical location of an untrusted party. It has recently been shown that the widely studied Bennett & Brassard 1984 (BB84) QPV protocol is insecure after the 3 dB loss point assuming local operations and classical communication (LOCC) adversaries. Here in this paper, we propose a time-reversed entanglement swapping QPV protocol (based on measurement-device-independent quantum cryptography) that is highly robust against quantum channel loss. First, assuming ideal qubit sources, we show that the protocol is secure against LOCC adversaries for any quantum channel loss, thereby overcoming the 3 dB loss limit. Then, we analyze the security of the protocol in a more practical setting involving weak laser sources and linear optics. Lastly, in this setting, we find that the security only degrades by an additive constant and the protocol is able to verify positions up to 47 dB channel loss.},
doi = {10.1103/PhysRevA.94.032315},
journal = {Physical Review A},
number = 3,
volume = 94,
place = {United States},
year = {Wed Sep 14 00:00:00 EDT 2016},
month = {Wed Sep 14 00:00:00 EDT 2016}
}
Web of Science
Works referenced in this record:
Practical position-based quantum cryptography
journal, November 2015
- Chakraborty, Kaushik; Leverrier, Anthony
- Physical Review A, Vol. 92, Issue 5
Long-distance quantum communication with entangled photons using satellites
journal, November 2003
- Aspelmeyer, M.; Jennewein, T.; Pfennigbauer, M.
- IEEE Journal of Selected Topics in Quantum Electronics, Vol. 9, Issue 6
Practical aspects of measurement-device-independent quantum key distribution
journal, November 2013
- Xu, Feihu; Curty, Marcos; Qi, Bing
- New Journal of Physics, Vol. 15, Issue 11
Decoy State Quantum Key Distribution
journal, June 2005
- Lo, Hoi-Kwong; Ma, Xiongfeng; Chen, Kai
- Physical Review Letters, Vol. 94, Issue 23
Beating the Photon-Number-Splitting Attack in Practical Quantum Cryptography
journal, June 2005
- Wang, Xiang-Bin
- Physical Review Letters, Vol. 94, Issue 23
Measurement-Device-Independent Quantum Key Distribution over Untrustful Metropolitan Network
journal, March 2016
- Tang, Yan-Lin; Yin, Hua-Lei; Zhao, Qi
- Physical Review X, Vol. 6, Issue 1
Simplified instantaneous non-local quantum computation with applications to position-based cryptography
journal, September 2011
- Beigi, Salman; König, Robert
- New Journal of Physics, Vol. 13, Issue 9
Methods for reliable teleportation
journal, January 1999
- Vaidman, Lev; Yoran, Nadav
- Physical Review A, Vol. 59, Issue 1
Probability Inequalities for Sums of Bounded Random Variables
journal, March 1963
- Hoeffding, Wassily
- Journal of the American Statistical Association, Vol. 58, Issue 301
Insecurity of position-based quantum-cryptography protocols against entanglement attacks
journal, January 2011
- Lau, Hoi-Kwan; Lo, Hoi-Kwong
- Physical Review A, Vol. 83, Issue 1
Positive-partial-transpose-indistinguishable states via semidefinite programming
journal, January 2013
- Cosentino, Alessandro
- Physical Review A, Vol. 87, Issue 1
Position-Based Quantum Cryptography: Impossibility and Constructions
journal, January 2014
- Buhrman, Harry; Chandran, Nishanth; Fehr, Serge
- SIAM Journal on Computing, Vol. 43, Issue 1
Loss-tolerant quantum cryptography with imperfect sources
journal, November 2014
- Tamaki, Kiyoshi; Curty, Marcos; Kato, Go
- Physical Review A, Vol. 90, Issue 5
Measurement-device-independent quantum key distribution with uncharacterized qubit sources
journal, December 2013
- Yin, Zhen-Qiang; Fung, Chi-Hang Fred; Ma, Xiongfeng
- Physical Review A, Vol. 88, Issue 6
Mismatched-basis statistics enable quantum key distribution with uncharacterized qubit sources
journal, November 2014
- Yin, Zhen-Qiang; Fung, Chi-Hang Fred; Ma, Xiongfeng
- Physical Review A, Vol. 90, Issue 5
Quantum detection and estimation theory
journal, January 1969
- Helstrom, Carl W.
- Journal of Statistical Physics, Vol. 1, Issue 2
Bell measurements for teleportation
journal, May 1999
- Lütkenhaus, N.; Calsamiglia, J.; Suominen, K. -A.
- Physical Review A, Vol. 59, Issue 5
Measurement-Device-Independent Quantum Key Distribution
journal, March 2012
- Lo, Hoi-Kwong; Curty, Marcos; Qi, Bing
- Physical Review Letters, Vol. 108, Issue 13
Side-Channel-Free Quantum Key Distribution
journal, March 2012
- Braunstein, Samuel L.; Pirandola, Stefano
- Physical Review Letters, Vol. 108, Issue 13
Semidefinite Programming
journal, March 1996
- Vandenberghe, Lieven; Boyd, Stephen
- SIAM Review, Vol. 38, Issue 1
Finite-key analysis for measurement-device-independent quantum key distribution
journal, April 2014
- Curty, Marcos; Xu, Feihu; Cui, Wei
- Nature Communications, Vol. 5, Issue 1
Location-dependent communications using quantum entanglement
journal, April 2010
- Malaney, Robert A.
- Physical Review A, Vol. 81, Issue 4
A monogamy-of-entanglement game with applications to device-independent quantum cryptography
journal, October 2013
- Tomamichel, Marco; Fehr, Serge; Kaniewski, Jędrzej
- New Journal of Physics, Vol. 15, Issue 10
Experimental quantum key distribution with active phase randomization
journal, January 2007
- Zhao, Yi; Qi, Bing; Lo, Hoi-Kwong
- Applied Physics Letters, Vol. 90, Issue 4
Quantum Key Distribution with High Loss: Toward Global Secure Communication
journal, August 2003
- Hwang, Won-Young
- Physical Review Letters, Vol. 91, Issue 5
Quantum Cryptography Protocols Robust against Photon Number Splitting Attacks for Weak Laser Pulse Implementations
journal, February 2004
- Scarani, Valerio; Acín, Antonio; Ribordy, Grégoire
- Physical Review Letters, Vol. 92, Issue 5