Benchmarking Quantum State Transfer on Quantum Devices using Spatio-Temporal Steering
arXiv:2009.07425 · doi:10.1103/PhysRevResearch.3.023038
Abstract
Quantum state transfer (QST) provides a method to send arbitrary quantum states from one system to another. Such a concept is crucial for transmitting quantum information into the quantum memory, quantum processor, and quantum network. The standard benchmark of QST is the average fidelity between the prepared and received states. In this work, we provide a new benchmark which reveals the non-classicality of QST based on spatio-temporal steering (STS). More specifically, we show that the local-hidden-state (LHS) model in STS can be viewed as the classical strategy of state transfer. Therefore, we can quantify the non-classicality of QST process by measuring the spatio-temporal steerability. We then apply the spatio-temporal steerability measurement technique to benchmark quantum devices including the IBM quantum experience and QuTech quantum inspire under QST tasks. The experimental results show that the spatio-temporal steerability decreases as the circuit depth increases, and the reduction agrees with the noise model, which refers to the accumulation of errors during the QST process. Moreover, we provide a quantity to estimate the signaling effect which could result from gate errors or intrinsic non-Markovian effect of the devices.
arXiv comment13 pages, 5 figures, 2 tables
References in corpus (80)
- Quantum Computing in the NISQ era and beyond
- Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
- Bell nonlocality
- Entanglement detection
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- Quantum state transfer and entanglement distribution among distant nodes in a quantum network
- QuTiP: An open-source Python framework for the dynamics of open quantum systems
- Steering, Entanglement, Nonlocality, and the EPR Paradox
- Quantum Resource Theories
- Quantum Computing with Very Noisy Devices
- Perfect state transfer in quantum spin networks
- One-sided Device-Independent Quantum Key Distribution: Security, feasibility, and the connection with steering
- A programmable two-qubit quantum processor in silicon
- Interfacing spin qubits in quantum dots and donors - hot, dense and coherent
- Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
- General Entanglement Breaking Channels
- Quantum Steering
- Theoretical framework for quantum networks
- Entanglement, EPR-correlations, Bell-nonlocality, and Steering
- Benchmarking an 11-qubit quantum computer
- Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
- Quantum steering: a review with focus on semidefinite programming
- Leggett-Garg Inequalities
- ProjectQ: An Open Source Software Framework for Quantum Computing
- A generative modeling approach for benchmarking and training shallow quantum circuits
- A Review of Perfect State Transfer and its Application as a Constructive Tool
- IBM Q Experience as a versatile experimental testbed for simulating open quantum systems
- Witnessing Quantum Coherence: from solid-state to biological systems
- Simulating quantum many-body dynamics on a current digital quantum computer
- Joint Measurability, Einstein-Podolsky-Rosen Steering, and Bell Nonlocality
- Robust Quantum State Transfer in Random Unpolarized Spin Chains
- Joint measurability of generalized measurements implies classicality
- Demonstration of fidelity improvement using dynamical decoupling with superconducting qubits
- Detection of entanglement in asymmetric quantum networks and multipartite quantum steering
- Condition for macroscopic realism beyond the Leggett-Garg inequalities
- One-to-one mapping between steering and joint measurability problems
- Perfect quantum state transfer in a superconducting qubit chain with parametrically tunable couplings
- Digitization of Scalar Fields for Quantum Computing
- The resource theory of steering
- Performing Quantum Computing Experiments in the Cloud
- A strict experimental test of macroscopic realism in a superconducting flux qubit
- Fault-Tolerant Logical Gates in the IBM Quantum Experience
- Quantifying Non-Markovianity with Temporal Steering
- Quantum network routing and local complementation
- Coherent spin state transfer via Heisenberg exchange
- Natural Framework for Device-Independent Quantification of Quantum Steerability, Measurement Incompatibility, and Self-Testing
- A resource theory of quantum memories and their faithful verification with minimal assumptions
- Electro-optic entanglement source for microwave to telecom quantum state transfer
- Necessary and sufficient conditions for macroscopic realism from quantum mechanics
- The Leggett-Garg Inequalities and No-Signalling in Time: A Quasi-Probability Approach
- All entangled states can demonstrate non-classical teleportation
- Spooky action at a global distance: analysis of space-based entanglement distribution for the quantum internet
- Demonstration of Einstein-Podolsky-Rosen Steering with Enhanced Subchannel Discrimination
- Quantum-state transfer via resonant tunnelling through local field induced barriers
- A temporal steering inequality
- No-cloning of quantum steering
- A neural network oracle for quantum nonlocality problems in networks
- Temporal steering and security of quantum key distribution with mutually-unbiased bases against individual attacks
- Experimental test of non-macrorealistic cat-states in the cloud
- Information Transferring Ability of the Different Phases of a finite XXZ Spin Chain
- Certifying single-system steering for quantum information processing
- Detecting multipartite entanglement structure with minimal resources
- Experimental demonstration of measurement-device-independent measure of quantum steering
- Experimental Quantum Network Coding
- Quantum steerability: characterization, quantification, superactivation and unbounded amplification
- Leggett-Garg macrorealism and the quantum nondisturbance conditions
- Entanglement Structure: Entanglement Partitioning in Multipartite Systems and Its Experimental Detection Using Optimizable Witnesses
- Arbitrary perfect state transfer in -level spin chains
- Temporal Steering in Four Dimensions with applications to coupled qubits and magnetoreception
- Hierarchy in temporal quantum correlations
- Spatio-Temporal Steering for Testing Nonclassical Correlations in Quantum Networks
- High-fidelity bosonic quantum state transfer using imperfect transducers and interference
- Robust self-testing of steerable quantum assemblages and its applications on device-independent quantum certification
- Unified picture for spatial, temporal and channel steering
- Estimating entanglement in teleportation experiments
- EPR Steering inequalities with Communication Assistance
- Transferring arbitrary d-dimensional quantum states of a superconducting qudit in circuit QED
- Experimental study of nonclassical teleportation beyond average fidelity
- Test one to test many: a unified approach to quantum benchmarks
- Benchmarks of Nonclassicality for Qubit Arrays
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- Quantum steering as a witness of quantum scrambling
- Deterministic one-way logic gates on a cloud quantum computer
- Maxwell's two-demon engine under pure dephasing noise
- Unveiling quantum steering by quantum-classical uncertainty complementarity
- Efficient factored gradient descent algorithm for quantum state tomography
- Adaptively partitioned analog quantum simulation on near-term quantum computers: The nonclassical free-induction decay of NV centers in diamond
- Transfer of quantum-enhanced information through a many-body system