Prescription for experimental determination of the dynamics of a quantum black box

Abstract

We give an explicit prescription for experimentally determining the evolution operators which completely describe the dynamics of a quantum mechanical black box -- an arbitrary open quantum system. We show necessary and sufficient conditions for this to be possible, and illustrate the general theory by considering specifically one and two quantum bit systems. These procedures may be useful in the comparative evaluation of experimental quantum measurement, communication, and computation systems.

6 pages, Revtex. Submitted to J. Mod. Opt

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• The capacity of the noisy quantum channel
• Complete Characterization of a Quantum Process: the Two-Bit Quantum Gate
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• Bounding the Classical Capacity of Multilevel Damping Quantum Channels
• Beyond the density operator and Tr(ρA): Exploiting the higher-order statistics of random-coefficient pure states for quantum information processing
• Clifford Circuits can be Properly PAC Learned if and only if $\text{RP}=\text{NP}$
• Quantifying Multipartite Quantum Entanglement in a Semi-Device-Independent Manner
• Lindblad-like quantum tomography for non-Markovian quantum dynamical maps
• Certification of a functionality in a quantum network stage
• Selective continuous-variable quantum process tomography
• Dual Map Framework for Noise Characterization of Quantum Computers
• Entanglement dynamics and performance of two-qubit gates for superconducting qubits under non-Markovian effects
• Detecting Quantum Capacities of Continuous-Variable Quantum Channels
• Direct estimation of decoherence rates
• Implementation of controllable universal unital optical channels
• Inferring Quantum Network Topologies using Genetic Optimisation of Indirect Measurements
• Statistical intrusion detection and eavesdropping in quantum channels with coupling: Multiple-preparation and single-preparation methods
• Highly Efficient and Broadband Optical Delay Line towards a Quantum Memory
• Reliable confidence regions for quantum tomography using distribution moments
• True experimental reconstruction of quantum states and processes via convex optimization
• Partial randomized benchmarking
• Perturbative tomography of small errors in quantum gates
• Twenty years of quantum contextuality at USTC
• Spin-1 teleportation-based quantum state tomography
• Quantum correlation generation capability of experimental processes
• Bayesian inference of general noise-model parameters from the syndrome statistics of surface codes
• Practical implementation of Toffoli-based qubit rotation
• Determination of the noise parameters in a one-dimensional open quantum system
• Filter Function Formalism and Software Package to Compute Quantum Processes of Gate Sequences for Classical Non-Markovian Noise
• Ancilla-Assisted Process Tomography with Bipartiete Mixed Separable States
• Quantum Assemblage Tomography
• Quantum decoherence emulated in a classical device
• Quantum process tomography of adiabatic and superadiabatic stimulated Raman passage
• Quantum process matrices as images: new tools to design novel denoising methods
• Parameterized process characterization with reduced resource requirements
• Qudit non-Clifford interleaved benchmarking
• Principles of quantum functional testing
• Finite-Resolution Limits on Quantum Uniqueness
• Deterministic Quantum Communication Between Fixed-Frequency Superconducting Qubits via Broadband Resonators
• A protocol to estimate the average fidelity of the bipartite system
• Single-Photon-Level Atomic Frequency Comb Storage in Room Temperature Alkali Vapour
• Benchmarking non-Clifford gates using only Pauli twirling group
• Blind-spots of Randomized Benchmarking Under Temporal Correlations
• Process Tensor Approaches to Non-Markovian Quantum Dynamics
• Purity benchmarking study of error coherence in a single Xmon qubit
• Classical State Detection Using Quantum State Tomography
• Coherent dynamical control of quantum processes
• On the query complexity of unitary channel certification
• Efficient Characterization of Coherent and Correlated Low-Degree Noise in Layers of Gates
• A controlled-NOT gate in a chain of qubits embedded in a spin field-effect transistor and its process tomography
• Efficient Scheme of Experimental Quantifying non-Markovianity in High-Dimension Systems
• Analytical Lower Bound on Query Complexity for Transformations of Unknown Unitary Operations
• Optimizing Circuit Reusing and its Application in Randomized Benchmarking
• Reducing Complexity of Shadow Process Tomography with Generalized Measurements
• Quantum Process Tomography with Digital Twins of Error Matrices
• Estimating Bell Diagonal states with separable measurements