Reliability of analog quantum simulation
arXiv:1603.09283 · doi:10.1140/epjqt/s40507-016-0054-4
Abstract
Analog quantum simulators (AQS) will likely be the first nontrivial application of quantum technology for predictive simulation. However, there remain questions regarding the degree of confidence that can be placed in the results of AQS since they do not naturally incorporate error correction. Specifically, how do we know whether an analog simulation of a quantum model will produce predictions that agree with the ideal model in the presence of inevitable imperfections? At the same time, there is a widely held expectation that certain quantum simulation questions will be robust to errors and perturbations in the underlying hardware. Resolving these two points of view is a critical step in making the most of this promising technology. In this work we formalize the notion of AQS reliability by determining sensitivity of AQS outputs to underlying parameters, and formulate conditions for robust simulation. Our approach naturally reveals the importance of model symmetries in dictating the robust properties. To demonstrate the approach, we characterize the robust features of a variety of quantum many-body models.
9 pages + Appendices. Comments welcome
References in corpus (8)
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Digitized adiabatic quantum computing with a superconducting circuit
- Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
- Digital quantum simulation of fermionic models with a superconducting circuit
- Quantum criticality as a resource for quantum estimation
- Quantum Spin Liquid in Spin 1/2 J1-J2 Heisenberg Model on Square Lattice: Many-Variable Variational Monte Carlo Study Combined with Quantum-Number Projections
- Bures metric over thermal state manifolds and quantum criticality
- Extracting signatures of quantum criticality in the finite-temperature behavior of many-body systems
Cited by in corpus (16)
- Analog quantum simulation of chemical dynamics
- Digital quantum simulation of molecular dynamics and control
- Linear optical quantum metrology with single photons --- Experimental errors, resource counting, and quantum Cramér-Rao bounds
- Molecular Excited State Calculations with Adaptive Wavefunctions on a Quantum Eigensolver Emulation: Reducing Circuit Depth and Separating Spin States
- Quantifying the sensitivity to errors in analog quantum simulation
- Superconducting quantum many-body circuits for quantum simulation and computing
- The effect of chaos on the simulation of quantum critical phenomena in analog quantum simulators
- Low dimensional manifolds for exact representation of open quantum systems
- KAM-Stability for Conserved Quantities in Finite-Dimensional Quantum Systems
- Quantum circuit debugging and sensitivity analysis via local inversions
- Perfect Coding for Dephased Quantum State Transfer
- Reconstructing the ideal results of a perturbed analog quantum simulator
- Estimating the error of an analog quantum simulator by additional measurements
- Analyzing the spectral density of a perturbed analog quantum simulator using Keldysh formalism
- Robustness of quantum symmetries against perturbations
- Stability of thermal equilibrium in long-range quantum systems