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We prove that quantum random access code (QRAC) performs better than its classical counterpart only when incompatible quantum measurements are used in the decoding task.
Conjugate coding
S. Wiesner · 1983
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Unsharp reality and joint measurements for spin observables
P. Busch · 1986
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Dense quantum coding and quantum finite automata
A. Ambainis, A. Nayak, A. Ta-Shma, and U. Vazirani · 2002
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Foundations of quantum theory and quantum information applications
E.F. Galvão · 2002
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( 4 , 1 ) (4,1) -quantum random access coding does not exist—one qubit is not enough to recover one of four bits
M. Hayashi, K. Iwama, H. Nishimura, R. Raymond, and S. Yamashita · 2006
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Notes on joint measurability of quantum observables
T. Heinosaari, D. Reitzner, and P. Stano · 2008
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Coexistence of qubit effects
P. Stano, D. Reitzner, and T. Heinosaari · 2008
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Quantum random access codes with shared randomness
A. Ambainis, D. Leung, L. Mancinska, and M. Ozols · 2009
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Coexistence of qubit effects
P. Busch and H.-J. Schmidt · 2010
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Joint measurement of two unsharp observables of a qubit
S. Yu, N.-L. Liu, L. Li, and C.H. Oh · 2010
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Comparing the degrees of incompatibility inherent in probabilistic physical theories
P. Busch, T. Heinosaari, J. Schultz, and N. Stevens · 2013
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Maximally incompatible quantum observables
T. Heinosaari, J. Schultz, A. Toigo, and M. Ziman · 2014
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Quantum random access codes using single d d -level systems
A. Tavakoli, A. Hameedi, B. Marques, and M. Bourennane · 2015
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Optimal classical random access codes using single d d -level systems
A. Ambainis, D. Kravchenko, and A. Rai · 2015
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Robustness of incompatibility for quantum devices
E. Haapasalo · 2015
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One-to-one mapping between steering and joint measurability problems
R. Uola, C. Budroni, O. Gühne, and J.-P. Pellonpää · 2015
Device-independent witness of arbitrary-dimensional quantum systems employing binary-outcome measurements
M. Czechlewski, D. Saha, A. Tavakoli, and M. Pawłowski · 2018
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Incompatible measurements in a class of general probabilistic theories
A. Jenčová · 2018
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Self-testing mutually unbiased bases in the prepare-and-measure scenario
M. Farkas and J. Kaniewski · 2019
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Experimentally feasible semi-device-independent certification of four-outcome positive-operator-valued measurements
P. Mironowicz and M. Pawłowski · 2019
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Quantifying measurement incompatibility of mutually unbiased bases
S. Designolle, P. Skrzypczyk, F. Fröwis, and N. Brunner · 2019
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Quantum incompatibility witnesses
C. Carmeli, T. Heinosaari, and T. Toigo · 2019
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An invitation to quantum incompatibility
T. Heinosaari, T. Miyadera, and M. Ziman · 2016
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Adaptive strategy for joint measurements
R. Uola, K. Luoma, T. Moroder, and T. Heinosaari · 2016
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Connections between mutually unbiased bases and quantum random access codes
E.A. Aguilar, J.J. Borkała, P. Mironowicz, and M. Pawłowski · 2018
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Compatibility of quantum measurements and inclusion constants for the matrix jewel
A. Bluhm and I. Nechita
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All sets of incompatible measurements give an advantage in quantum state discrimination
P. Skrzypczyk, I. Šupić, and D. Cavalcanti · 2019
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Quantifying quantum resources with conic programming
R. Uola, T. Kraft, J. Shang, X.-D. Yu, and O. Gühne · 2019
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A complete resource theory of quantum incompatibility as quantum programmability
W. Zhou F. Buscemi, E. Chitambar · 2019
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