Coherent Quantum Channel Discrimination
arXiv:2001.02668 · doi:10.1109/ISIT44484.2020.9174425
Abstract
This paper introduces coherent quantum channel discrimination as a coherent version of conventional quantum channel discrimination. Coherent channel discrimination is phrased here as a quantum interactive proof system between a verifier and a prover, wherein the goal of the prover is to distinguish two channels called in superposition in order to distill a Bell state at the end. The key measure considered here is the success probability of distilling a Bell state, and I prove that this success probability does not increase under the action of a quantum superchannel, thus establishing this measure as a fundamental measure of channel distinguishability. Also, I establish some bounds on this success probability in terms of the success probability of conventional channel discrimination. Finally, I provide an explicit semi-definite program that can compute the success probability.
arXiv comment12 pages, 5 figures, submission to ISIT 2020
References in corpus (16)
- Distance measures to compare real and ideal quantum processes
- From Classical to Quantum Shannon Theory
- Quantum-assisted quantum compiling
- Transforming quantum operations: quantum supermaps
- Statistical distinguishability between unitary operations
- Optimal discrimination of quantum operations
- Quantum information and precision measurement
- Entanglement can enhance the distinguishability of entanglement-breaking channels
- Comparison of Quantum Channels by Superchannels
- Coherent Communication of Classical Messages
- Tema Con Variazioni: Quantum Channel Capacity
- Communication through quantum-controlled noise
- Communication Enhancement Through Quantum Coherent Control of Channels in an Indefinite Causal-order Scenario
- Quantum Proofs
- Coherent Quantum Channel Discrimination
- Entanglement spread and clean resource inequalities
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