Exploiting Quantum Parallelism to Simulate Quantum Random Many-Body Systems

2005/05/11 by B. Paredes, Frank Verstraete, F. Verstraete +1 · 5 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.other #quant-ph

paper · pdf · doi:10.1103/physrevlett.95.140501

arxiv created 2005/05/11 · openalex publication_date 2005/09/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an algorithm that exploits quantum parallelism to simulate randomness in a quantum system. In our scheme, all possible realizations of the random parameters are encoded quantum mechanically in a superposition state of an auxiliary system. We show how our algorithm allows for the efficient simulation of dynamics of quantum random spin chains with known numerical methods. We propose an experimental realization based on atoms in optical lattices in which disorder could be simulated in parallel and in a controlled way through the interaction with another atomic species.

Citations

• Matrix Product Density Operators: Simulation of Finite-Temperature and Dissipative Systems
• Atom cooling and trapping by disorder

Cited by

• Extracting average properties of disordered spin chains with translationally invariant tensor networks
• Ergodicity breaking in matrix-product-state effective Hamiltonians
• Localization-delocalization transition in the random dimer model
• Purification and Many-Body Localization in Cold Atomic Gases
• Class of Quantum Many-Body States That Can Be Efficiently Simulated