Quantum benchmarks for pure single-mode Gaussian states

Abstract

Teleportation and storage of continuous variable states of light and atoms are essential building blocks for the realization of large scale quantum networks. Rigorous validation of these implementations require identifying, and surpassing, benchmarks set by the most effective strategies attainable without the use of quantum resources. Such benchmarks have been established for special families of input states, like coherent states and particular subclasses of squeezed states. Here we solve the longstanding problem of defining quantum benchmarks for general pure Gaussian single-mode states with arbitrary phase, displacement, and squeezing, randomly sampled according to a realistic prior distribution. As a special case, we show that the fidelity benchmark for teleporting squeezed states with totally random phase and squeezing degree is 1/2, equal to the corresponding one for coherent states. We discuss the use of entangled resources to beat the benchmarks in experiments.

5 + 7 pages, 3 figures; published version

References in corpus (20)

• The Quantum Internet
• Experimental quantum teleportation
• Quantum teleportation between light and matter
• Experimental demonstration of quantum memory for light
• Entanglement in continuous variable systems: Recent advances and current perspectives
• Quantum teleportation using active feed-forward between two Canary Islands
• Quantum Teleportation Between Distant Matter Qubits
• Mapping photonic entanglement into and out of a quantum memory
• Quantum memory for squeezed light
• Quantum memory for entangled two-mode squeezed states
• Stable control of 10 dB two-mode squeezed vacuum states of light
• Equivalence between Entanglement and the Optimal Fidelity of Continuous Variable Teleportation
• Experimental demonstration of quantum teleportation of broadband squeezing
• Squeezing the limit: Quantum benchmarks for the teleportation and storage of squeezed states
• Quantum Benchmark for Teleportation and Storage of Squeezed States
• Optimal design and quantum benchmarks for coherent state amplifiers
• Phase-Covariant Quantum Benchmarks
• Quantum Teamwork for Unconditional Multiparty Communication with Gaussian States
• Quantum teleportation benchmarks for independent and identically-distributed spin states and displaced thermal states
• Generalized squeezed states for the Jacobi group

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