Test one to test many: a unified approach to quantum benchmarks
arXiv:1711.10240 · doi:10.1103/PhysRevLett.120.150502
Abstract
Quantum benchmarks are routinely used to validate the experimental demonstration of quantum information protocols. Many relevant protocols, however, involve an infinite set of input states, of which only a finite subset can be used to test the quality of the implementation. This is a problem, because the benchmark for the finitely many states used in the test can be higher than the original benchmark calculated for infinitely many states. This situation arises in the teleportation and storage of coherent states, for which the benchmark of 50% fidelity is commonly used in experiments, although finite sets of coherent states normally lead to higher benchmarks. Here we show that the average fidelity over all coherent states can be indirectly probed with a single setup, requiring only two-mode squeezing, a 50-50 beamsplitter, and homodyne detection. Our setup enables a rigorous experimental validation of quantum teleportation, storage, amplification, attenuation, and purification of noisy coherent states. More generally, we prove that every quantum benchmark can be tested by preparing a single entangled state and measuring a single observable.
arXiv comment18 pages, 6 figures, fixed typos
References in corpus (49)
- Separability Criterion for Density Matrices
- Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein-Podolski-Rosen Channels
- Ground-to-satellite quantum teleportation
- Quantum teleportation between light and matter
- Experimental demonstration of quantum memory for light
- Prescription for experimental determination of the dynamics of a quantum black box
- Complete Characterization of a Quantum Process: the Two-Bit Quantum Gate
- General Entanglement Breaking Channels
- A complete family of separability criteria
- Ancilla-assisted quantum process tomography
- Tomography of Quantum Operations
- A high-fidelity noiseless amplifier for quantum light states
- Universal cloning of continuous quantum variables
- Implementation of a non-deterministic optical noiseless amplifier
- Deterministic quantum teleportation between distant atomic objects
- Separability of n-particle mixed states: necessary and sufficient conditions in terms of linear maps
- Criteria for Continuous-Variable Quantum Teleportation
- Remote preparation of an atomic quantum memory
- Quantum benchmark for storage and transmission of coherent states
- Gaussian states in continuous variable quantum information
- Unconditional Room Temperature Quantum Memory
- Noise-Powered Probabilistic Concentration of Phase Information
- Nondeterministic Noiseless Linear Amplification of Quantum Systems
- Heralded Noiseless Amplification of a Photon Polarization Qubit
- Choi's Proof and Quantum Process Tomography
- Noiseless loss suppression in quantum optical communication
- Testing Quantum Devices: Practical Entanglement Verification in Bipartite Optical Systems
- Memory for Light as a Quantum Process
- Non-local Operations: Purification, storage, compression, tomography, and probabilistic implementation
- Squeezing the limit: Quantum benchmarks for the teleportation and storage of squeezed states
- Quantum Benchmark for Teleportation and Storage of Squeezed States
- Restricted numerical range: a versatile tool in the theory of quantum information
- A Family of Norms With Applications In Quantum Information Theory
- Heralded noiseless amplification and attenuation of non-gaussian states of light
- Phase Conjugation of Continuous Quantum Variables
- Optimal design and quantum benchmarks for coherent state amplifiers
- Quantum benchmarks for pure single-mode Gaussian states
- Probabilistic Cloning of Coherent States without a Phase Reference
- Experimental purification of coherent states
- Phase-Covariant Quantum Benchmarks
- Fidelity criterion for quantum-domain transmission and storage of coherent states beyond unit-gain constraint
- Noiseless attenuation using an optical parametric amplifier
- Certifying quantumness: Benchmarks for the optimal processing of generalized coherent and squeezed states
- Quantum benchmarks for the storage or transmission of quantum light from minimal resources
- Verification of quantum-domain process using two non-orthogonal states
- Probing the quantumness of channels with mixed states
- Quantum amplification and purification of noisy coherent states
- Quantum benchmarking with realistic states of light
- Low-Noise Amplification of a Continuous Variable Quantum State
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- Benchmarking Quantum State Transfer on Quantum Devices using Spatio-Temporal Steering
- Quantum Causal Unravelling
- Efficient verification of bosonic quantum channels via benchmarking
- Bosonic randomized benchmarking with passive transformations
- Certification of continuous-variable gates using average channel-fidelity witnesses