Access the full text.
Sign up today, get DeepDyve free for 14 days.
Jamil Daboul, Xiaoguang Wang, B. Sanders (2002)
Quantum gates on hybrid quditsJournal of Physics A, 36
G. Bowen (2001)
Classical information capacity of superdense codingPhysical Review A, 63
Shengjun Wu, Scott Cohen, Yuqing Sun, R. Griffiths (2005)
Deterministic and unambiguous dense codingPhysical Review A, 73
M. Ziman, V. Buzek (2000)
Equally distant, partially entangled alphabet states for quantum channelsPhysical Review A, 62
Charles Bennett, S. Wiesner (1992)
Communication via one- and two-particle operators on Einstein-Podolsky-Rosen states.Physical review letters, 69 20
Charles Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, W. Wootters (1993)
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels.Physical review letters, 70 13
A. Barenco, A. Ekert (1995)
Dense Coding Based on Quantum EntanglementJournal of Modern Optics, 42
A Chefles (2000)
Quantum state discriminationContemp. Phys., 41
M. Sol'is-Prosser, A. Delgado, O. Jim'enez, Leonardo Neves (2014)
Deterministic and probabilistic entanglement swapping of nonmaximally entangled states assisted by optimal quantum state discriminationPhysical Review A, 89
S. Mozes, B. Reznik, J. Oppenheim (2004)
Deterministic dense coding with partially entangled statesPhysical Review A, 71
M. Sol'is-Prosser, A. Delgado, O. Jim'enez, Leonardo Neves (2016)
Parametric separation of symmetric pure quantum statesPhysical Review A, 93
SM Barnett (2009)
Quantum Information
J. Bergou (2010)
Discrimination of quantum statesJournal of Modern Optics, 57
Leonardo Neves, M. Sol'is-Prosser, A. Delgado, O. Jim'enez (2012)
Quantum teleportation via maximum-confidence quantum measurementsPhysical Review A, 85
O. Jim'enez, M. Sol'is-Prosser, A. Delgado, Leonardo Neves (2011)
Maximum-confidence discrimination among symmetric qudit statesPhysical Review A, 84
G. Alber, A. Delgado, N. Gisin, I. Jex (2001)
Efficient bipartite quantum state purification in arbitrary dimensional Hilbert spacesJournal of Physics A, 34
T. Cover, Joy Thomas (2005)
Elements of Information Theory
A. Hayashi, T. Hashimoto, M. Horibe (2008)
State discrimination with error margin and its localityPhysical Review A, 78
P. Hausladen, R. Jozsa, B. Schumacher, Michael Westmoreland, W. Wootters (1996)
Classical information capacity of a quantum channel.Physical review. A, Atomic, molecular, and optical physics, 54 3
P. Bourdon, Edward Gerjuoy, J. McDonald, H. Williams (2007)
Deterministic dense coding and entanglement entropyPhysical Review A, 77
Jiucang Hao, Chuan‐Feng Li, G. Guo (2000)
Probabilistic dense coding and teleportationPhysics Letters A, 278
Zhengfeng Ji, Yuan Feng, R. Duan, M. Ying (2006)
Boundary effect of deterministic dense codingPhysical Review A, 73
O. Lombardi, F. Holik, L. Vanni (2016)
What is quantum informationStudies in History and Philosophy of Modern Physics, 56
E. Bagan, R. Muñoz-Tapia, G. Olivares-Rentería, J. Bergou (2012)
Optimal discrimination of quantum states with a fixed rate of inconclusive outcomesPhysical Review A, 86
M. Ban, K. Kurokawa, R. Momose, O. Hirota (1997)
Optimum measurements for discrimination among symmetric quantum states and parameter estimationInternational Journal of Theoretical Physics, 36
Charles Bennett (1992)
Quantum cryptography using any two nonorthogonal states.Physical review letters, 68 21
A. Ekert (1991)
Quantum cryptography based on Bell's theorem.Physical review letters, 67 6
T. Hiroshima (2000)
Optimal dense coding with mixed state entanglementJournal of Physics A, 34
(1998)
Mixed state dense coding and its relation to entanglement measuresJournal of Modern Optics, 47
Gang Zhang, Long-Bao Yu, Wen-Hai Zhang, Z. Cao (2014)
Extracting remaining information from an inconclusive result in optimal unambiguous state discriminationQuantum Information Processing, 13
Michael Beran, Scott Cohen (2008)
Nonoptimality of unitary encoding with quantum channels assisted by entanglementPhysical Review A, 78
S. Barnett, S. Croke (2008)
Quantum state discriminationAdvances in Optics and Photonics, 1
D. Bruß, G. D’Ariano, M. Lewenstein, C. Macchiavello, A. De, U. Sen (2004)
Distributed quantum dense coding.Physical review letters, 93 21
A. Pati, P. Parashar, P. Agrawal (2004)
Probabilistic superdense codingPhysical Review A, 72
A. Chefles, S. Barnett (1998)
Optimum unambiguous discrimination between linearly independent symmetric statesPhysics Letters A, 250
Dense coding with non-maximally entangled states has been investigated in many different scenarios. We revisit this problem for protocols adopting the standard encoding scheme. In this case, the set of possible classical messages cannot be perfectly distinguished due to the non-orthogonality of the quantum states carrying them. So far, the decoding process has been approached in two ways: (i) The message is always inferred, but with an associated (minimum) error; (ii) the message is inferred without error, but only sometimes; in case of failure, nothing else is done. Here, we generalize on these approaches and propose novel optimal probabilistic decoding schemes. The first uses quantum-state separation to increase the distinguishability of the messages with an optimal success probability. This scheme is shown to include (i) and (ii) as special cases and continuously interpolate between them, which enables the decoder to trade-off between the level of confidence desired to identify the received messages and the success probability for doing so. The second scheme, called multistage decoding, applies only for qudits (d-level quantum systems with $$d>2$$ d > 2 ) and consists of further attempts in the state identification process in case of failure in the first one. We show that this scheme is advantageous over (ii) as it increases the mutual information between the sender and receiver.
Quantum Information Processing – Springer Journals
Published: Feb 21, 2017
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.