Reconstructing the ideal results of a perturbed analog quantum simulator

2017/01/31 by Iris Schwenk, Jan-Michael Reiner, Sebastian Zanker +3
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Computer science #Coupling (piping) #Engineering #Ideal (ethics) #Mathematics #Mechanical engineering #Perturbation (astronomy) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum computer #Quantum mechanics #Quantum simulator #Quantum system #Simulation #Statistical physics #quant-ph

paper · pdf · doi:10.1103/physreva.97.042310

published as Phys. Rev. A 97, 042310 (2018)

openalex publication_date 2018/04/06 · arxiv created 2018/04/11 · arxiv updated 2018/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Well-controlled quantum systems can potentially be used as quantum simulators. However, a quantum simulator is inevitably perturbed by coupling to additional degrees of freedom. This constitutes a major roadblock to useful quantum simulations. So far there are only limited means to understand the effect of perturbation on the results of quantum simulation. Here we present a method which, in certain circumstances, allows for the reconstruction of the ideal result from measurements on a perturbed quantum simulator. We consider extracting the value of the correlator \ensuremath⟨\stackrel\ifmmode \else \\fiOⁱ(t)\stackrel\ifmmode \else \\fiO^j(0)\ensuremath⟩ from the simulated system, where \stackrel\ifmmode \else \\fiOⁱ are the operators which couple the system to its environment. The ideal correlator can be straightforwardly reconstructed by using statistical knowledge of the environment, if any n-time correlator of operators \stackrel\ifmmode \else \\fiOⁱ of the ideal system can be written as products of two-time correlators. We give an approach to verify the validity of this assumption experimentally by additional measurements on the perturbed quantum simulator. The proposed method can allow for reliable quantum simulations with systems subjected to environmental noise without adding an overhead to the quantum system.

Citations

• Digital quantum simulation of spin models with circuit quantum electrodynamics
• Defining and detecting quantum speedup
• High-fidelity readout and control of a nuclear spin qubit in silicon
• Quantum many-body systems out of equilibrium
• Towards Quantum Chemistry on a Quantum Computer
• Quantum computing with trapped ions
• What is the Computational Value of Finite Range Tunneling?
• Error mitigation for short-depth quantum circuits