Schmidt-number benchmark for genuine quantum memories and gates

Abstract

We propose to apply the notion of the Schmidt number in order to show that a quantum memory or gate process is capable of maintaining a genuine multi-level quantum coherence. We present a simple criterion in terms of an average gate fidelity with respect to the input states of two mutually unbiased bases and demonstrate the coherence of the gate operation in several existing experiments. The Schmidt-number benchmark naturally includes the quantum benchmark as a specific case.

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Cited by in corpus (6)

• Schmidt-number benchmarks for continuous-variable quantum devices
• Quantum Benchmark via an Uncertainty Product of Canonical Variables
• Amplification uncertainty relation for probabilistic amplifiers
• Composability of partially entanglement breaking channels via entanglement assisted local operations and classical communication
• Einstein-Podolsky-Rosen-like correlation on a coherent-state basis and inseparability of two-mode Gaussian states
• Converting separable conditions to entanglement breaking conditions