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20002025
most citedQuantum Coherence as a Resource

1.8k citations

Showing 2012 · quant-phShow all

11 papers · 2 filters

quant-ph2012★ 36 cited

Necessary and sufficient conditions for state-independent measurement contextual scenarios

Ravishankar Ramanathan, Pawel Horodecki

The problem of identifying measurement scenarios capable of revealing state-independent contextuality in a given Hilbert space dimension is considered. We begin by showing that for…

quant-ph2012★ 19 cited

Local random quantum circuits are approximate polynomial-designs - numerical results

Piotr Ćwikliński, Michał Horodecki, Marek Mozrzymas +2

We numerically investigate the statement that local random quantum circuits acting on n qubits composed of polynomially many nearest neighbour two-qubit gates form an approximate u…

quant-ph2012★ 21 cited

Collectibility for Mixed Quantum States

Łukasz Rudnicki, Zbigniew Puchała, Paweł Horodecki +1

Bounds analogous to entropic uncertainty relations allow one to design practical tests to detect quantum entanglement by a collective measurement performed on several copies of the…

quant-ph2012★ 9 cited

Constructive entanglement test from triangle inequality

Łukasz Rudnicki, Zbigniew Puchała, Paweł Horodecki +1

We derive a simple lower bound on the geometric measure of entanglement for mixed quantum states in the case of a general multipartite system. The main ingredient of the presented…

quant-ph2012★ 20 cited

Conjectured strong complementary-correlations tradeoff

Andrzej Grudka, Michał Horodecki, Paweł Horodecki +3

We conjecture new uncertainty relations which restrict correlations between results of measurements performed by two separated parties on a shared quantum state. The first uncertai…

quant-ph2012★ 28 cited

Analytical progress on symmetric geometric discord: Measurement-based upper bounds

Adam Miranowicz, Pawel Horodecki, Ravindra W. Chhajlany +2

Quantum correlations may be measured by means of the distance of the state to the subclass of states having well defined classical properties. In particular, a geometric measur…

quant-ph2012★ 271 cited

(Quantumness in the context of) Resource Theories

Michał Horodecki, Jonathan Oppenheim

We review the basic idea behind resource theories, where we quantify quantum resources by specifying a restricted class of operations. This divides the state space into various set…

quant-ph2012★ 105 cited

Quantifying Contextuality

A. Grudka, K. Horodecki, M. Horodecki +5

Contextuality is central to both the foundations of quantum theory and to the novel information processing tasks. Although it was recognized before Bell's nonlocality, despite some…

quant-ph2012★ 1 cited

Decoherence-Free Communication over Multiaccess Quantum Channels

Maciej Demianowicz

In this paper we consider decoherence-free communication over multiple access and -user quantum channels. First, we concentrate on a hermitian unitary noise model for a two-…

quant-ph2012★ 26 cited

Quantum-correlation breaking channels, broadcasting scenarios, and finite Markov chains

J. K. Korbicz, P. Horodecki, R. Horodecki

One of the classical results concerning quantum channels is the characterization of entanglement-breaking channels [M. Horodecki et al., Rev. Math. Phys 15, 629 (2003)]. We address…

quant-ph2012★ 315 cited

Local random quantum circuits are approximate polynomial-designs

Fernando G. S. L. Brandao, Aram W. Harrow, Michal Horodecki

We prove that local random quantum circuits acting on n qubits composed of O(t^{10} n^2) many nearest neighbor two-qubit gates form an approximate unitary t-design. Previously it w…