Quantum Benchmark via an Uncertainty Product of Canonical Variables
arXiv:1404.2643 · doi:10.1103/PhysRevLett.114.140503
Abstract
We present an uncertainty-relation-type quantum benchmark for continuous-variable (CV) quantum channels that works with an input ensemble of Gaussian distributed coherent states and homodyne measurements. It determines an optimal trade-off relation between canonical quadrature noises unbeatable by entanglement breaking channels and refines the notion of two quantum duties introduced in the original papers of CV quantum teleportation. It can verify the quantum-domain performance for all one-mode Gaussian channels.We also address the case of stochastic channels and the effect of asymmetric gains.
arXiv comment5 pages, 1 figure. Corollary 2 is extended for stochastic quantum channels. To appear Phys. Rev. Lett
References in corpus (37)
- Quantum information with continuous variables
- Gaussian Quantum Information
- Peres-Horodecki separability criterion for continuous variable systems
- Inseparability criterion for continuous variable systems
- Quantum interface between light and atomic ensembles
- Experimental demonstration of quantum memory for light
- General Entanglement Breaking Channels
- Inseparability criteria for bipartite quantum states
- Experimental investigation of continuous variable quantum teleportation
- Virtual Entanglement and Reconciliation Protocols for Quantum Cryptography with Continuous Variables
- Characterizing the entanglement of bipartite quantum systems
- Criteria for Continuous-Variable Quantum Teleportation
- Quantum benchmark for storage and transmission of coherent states
- Quantum memory for entangled two-mode squeezed states
- Spin squeezing of a cold atomic ensemble with the nuclear spin of one-half
- Inseparability criteria based on matrices of moments
- A practical limitation for continuous-variable quantum cryptography using coherent states
- Unconditional quantum-noise suppression via measurement-based quantum feedback
- Entanglement verification for quantum key distribution systems with an underlying bipartite qubit-mode structure
- Squeezing the limit: Quantum benchmarks for the teleportation and storage of squeezed states
- Optimal design and quantum benchmarks for coherent state amplifiers
- Quantum benchmarks for pure single-mode Gaussian states
- Phase-Covariant Quantum Benchmarks
- Fidelity criterion for quantum-domain transmission and storage of coherent states beyond unit-gain constraint
- Quantum benchmarks for the storage or transmission of quantum light from minimal resources
- Manipulation of Non-classical Atomic Spin States
- Optimal working points for continuous-variable quantum channels
- Strong quantitative benchmarking of quantum optical devices
- Verification of quantum-domain process using two non-orthogonal states
- Quantum benchmarking with realistic states of light
- Quantum teleportation benchmarks for independent and identically-distributed spin states and displaced thermal states
- Fundamental quantum limits for practical devices
- Simple proof of the quantum benchmark fidelity for continuous-variable quantum devices
- Photonic families of non-Gaussian entangled states and entanglement criteria for continuous-variable systems
- Quantum Throughput: Quantifying quantum communication with homodyne measurements
- Schmidt-number benchmark for genuine quantum memories and gates
- Einstein-Podolsky-Rosen-like correlation on a coherent-state basis and inseparability of two-mode Gaussian states