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The Entropy Power Inequality for Quantum Systems
TLDR
A new quantum de Bruijin identity is found relating entropy production under diffusion to a divergence-based quantum Fisher information that exhibits certain convexity properties in the context of beam splitters.
View on IEEE
Trading Classical and Quantum Computational Resources
TLDR
A purely classical algorithm is proposed that can simulate a Pauli-based computation (PBC) on n qubits in a time $2^{c n} poly(n)$ where $c\approx 0.94$.
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The structure of degradable quantum channels
TLDR
A comprehensive review of what is currently known about the structure of degradable quantum channels is given, including a number of new results as well as alternate proofs of some known results.
View PDF on arXiv
Quantum Communication with Zero-Capacity Channels
TLDR
It is shown theoretically that two quantum channels, each with a transmission capacity of zero, can have a nonzero capacity when used together, implying that the quantum capacity does not completely specify a channel's ability to transmit quantum information.
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How "Quantum" is the D-Wave Machine?
Recently there has been intense interest in claims about the performance of the D-Wave machine. In this paper, we outline a simple classical model, and show that it achieves excellent correlation…
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Efficient method for computing the maximum-likelihood quantum state from measurements with additive Gaussian noise.
We provide an efficient method for computing the maximum-likelihood mixed quantum state (with density matrix ρ) given a set of measurement outcomes in a complete orthonormal operator basis subject to…
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Degenerate quantum codes for Pauli channels.
TLDR
A heuristic for designing degenerate quantum codes for high noise rates is provided, which is applied to generate codes that can be used to communicate over almost any Pauli channel at rates that are impossible for a nondegenerate code.
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Continuity of Quantum Channel Capacities
We prove that a broad array of capacities of a quantum channel are continuous. That is, two channels that are close with respect to the diamond norm have correspondingly similar communication…
View on Springer
Useful States and Entanglement Distillation
TLDR
Interpreting the upper bound on the distillable entanglement of a mixed state under one-way and two-way local operations and classical communication (LOCC) as a convex roof extension, it is shown that it reduces to a particularly simple, non-convex optimization problem for the classes of isotropic states and Werner states.
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Unitary-projective entanglement dynamics
Starting from a state of low quantum entanglement, local unitary time evolution increases the entanglement of a quantum many-body system. In contrast, local projective measurements disentangle…
View PDF on arXiv
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