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Quantum Simulation of Generic Many-Body Open System Dynamics Using Classical Noise.

A Chenu¹, M Beau², J Cao¹

¹Department of Chemistry, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, USA.

Physical Review Letters

|April 22, 2017

Summary

We present a quantum simulation method for many-body decoherence using stochastic Hamiltonians. This approach enables the simulation of open quantum systems and reveals fidelity decay scaling with system size.

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Area of Science:

Quantum Information Science
Quantum Many-Body Physics
Quantum Simulation

Background:

Quantum decoherence is a critical challenge in building scalable quantum computers.
Simulating open quantum systems accurately is essential for understanding and mitigating decoherence.

Purpose of the Study:

To introduce a novel scheme for simulating many-body decoherence in quantum systems.
To demonstrate how stochastic Hamiltonians can model open quantum dynamics.

Main Methods:

Utilizing the unitary evolution of a stochastic Hamiltonian to simulate decoherence.
Modulating interaction strengths with stochastic processes (white and colored noise).
Analyzing the noise-averaged density matrix to reveal effective open dynamics.

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Main Results:

The proposed method simulates open quantum dynamics governed by k-body Lindblad operators.
Markovian dynamics are achieved with white noise, while colored noise enables non-Markovian dynamics.
Fidelity decay under many-body decoherence scales as N^{-2k} with system size N.

Conclusions:

The developed scheme provides a versatile tool for studying many-body decoherence.
The method is implementable across various quantum platforms like optical lattices, superconducting circuits, and trapped ions.