Probing entanglement entropy via randomized measurements
arXiv:1806.05747 · doi:10.1126/science.aau4963
Abstract
Entanglement is the key feature of many-body quantum systems, and the development of new tools to probe it in the laboratory is an outstanding challenge. Measuring the entropy of different partitions of a quantum system provides a way to probe its entanglement structure. Here, we present and experimentally demonstrate a new protocol for measuring entropy, based on statistical correlations between randomized measurements. Our experiments, carried out with a trapped-ion quantum simulator, prove the overall coherent character of the system dynamics and reveal the growth of entanglement between its parts - both in the absence and presence of disorder. Our protocol represents a universal tool for probing and characterizing engineered quantum systems in the laboratory, applicable to arbitrary quantum states of up to several tens of qubits.
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- Entanglement entropy dynamics of non-Gaussian states in free boson systems: Random sampling approach
- Optimizing Circuit Reusing and its Application in Randomized Benchmarking
- Rényi entropy of the permutationally invariant part of the ground state across a quantum phase transition
- Robustness of a state with Ising topological order against local projective measurements
- Realizing Topological Quantum Walks on NISQ Digital Quantum Computer
- Nonunitary gates using measurements only
- Classification of quantum states of light using random measurements through a multimode fiber
- Relativistic meson spectra on ion-trap quantum simulators
- Edge states and universality class of the critical two-box symmetric SU(3) chain
- Variational quantum simulation of the quantum critical regime
- Quantum entropy thermalization
- Entanglement Hamiltonian during a domain wall melting in the free Fermi chain
- Multipartite entangled states in dipolar quantum simulators
- Inter-qubit correlation dynamics driven by mutual interactions
- Do mixed states exhibit deep thermalisation?
- Energy Spectra of Compressed Quantum States
- Optimal randomized measurements for a family of non-linear quantum properties
- Learning mixed quantum states in large-scale experiments
- A Unsupervised Framework for Identifying Diverse Quantum Phase Transitions Using Classical Shadow Tomography
- The Efficiency Frontier: Classical Shadows versus Direct Quantum Measurement
- Equivalence of Stabilizer and Shannon Rényi Entropies: Exact Results for Quantum Critical Chains
- Temporal Entanglement Transitions in the Periodically Driven Ising Chain
- Universal Decay of Mutual Information and Conditional Mutual Information in Gapped Pure- and Mixed-State Quantum Matter
- Scalable protocol to coherence estimation from scarce data: Theory and experiment
- Dynamical quantum phase transitions on random networks
- Dynamics of entanglement asymmetry for space-inversion symmetry of free fermions on honeycomb lattices
- Analytically Continuing the Randomized Measurement Toolbox
- Dynamical irreversibility and local decoherence in quantum many-body chaos
- Quantum simulation in the entanglement picture
- Certifying entanglement dimensionality by -reduction moments
- Prime Number Identification Demonstrated with Quantum Processors Using a New Rescaling-Based Noise Mitigation Technique