• Corpus ID: 249017673

Benchmarking Quantum Simulators using Quantum Chaos

  title={Benchmarking Quantum Simulators using Quantum Chaos},
  author={Daniel K. Mark and Joonhee Choi and Adam L. Shaw and M. Endres and Soonwon Choi},
We propose and analyze a sample-efficient protocol to estimate the fidelity between an experimentally prepared state and an ideal target state, applicable to a wide class of analog quantum simulators without advanced sophisticated spatiotemporal control. Our approach utilizes newly discovered universal fluctuations emerging from generic Hamiltonian dynamics, and it does not require any fine-tuned control over state preparation, quantum evolution, or readout capability. It only needs a small number… 

Figures and Tables from this paper


Statistical correlations between locally randomized measurements: A toolbox for probing entanglement in many-body quantum states
We develop a general theoretical framework for measurement protocols employing statistical correlations of randomized measurements. We focus on locally randomized measurements implemented with local
Efficient and feasible state tomography of quantum many-body systems
We present a novel method for performing quantum state tomography for many-particle systems, which are particularly suitable for estimating the states in lattice systems such as of ultra-cold atoms
Entanglement Hamiltonian tomography in quantum simulation
Entanglement is the crucial ingredient of quantum many-body physics, and characterizing and quantifying entanglement in closed system dynamics of quantum simulators is an outstanding challenge in
Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator
Here, a quantum simulator composed of up to 53 qubits is used to study non-equilibrium dynamics in the transverse-field Ising model with long-range interactions, enabling the dynamical phase transition to be probed directly and revealing computationally intractable features that rely on the long- range interactions and high connectivity between qubits.
Predicting many properties of a quantum system from very few measurements
An efficient method for constructing an approximate classical description of a quantum state using very few measurements of the state is proposed, called a ‘classical shadow’, which can be used to predict many different properties.
Efficient classical simulation of noisy random quantum circuits in one dimension
It is numerically demonstrated that for the two-qubit gate error rates the authors considered, there exists a characteristic system size above which adding more qubits does not bring about an exponential growth of the cost of classical MPO simulation of 1D noisy systems, possibly making classical simulation practically not feasible even with state-of-the-art supercomputers.
Reliable quantum state tomography.
This work shows that quantum state tomography, together with an appropriate data analysis procedure, yields reliable and tight error bounds, specified in terms of confidence regions-a concept originating from classical statistics.
Hamiltonian Tomography via Quantum Quench.
We show that it is possible to uniquely reconstruct a generic many-body local Hamiltonian from a single pair of generic initial and final states related by evolving with the Hamiltonian for any time
Quantum trajectories and open many-body quantum systems
The study of open quantum systems – microscopic systems exhibiting quantum coherence that are coupled to their environment – has become increasingly important in the past years, as the ability to
Practical characterization of quantum devices without tomography.
It is demonstrated that fidelity can be estimated from a number of simple experiments that is independent of the system size, removing an important roadblock for the experimental study of larger quantum information processing units.