Dissipation-driven formation of entangled dark states in strongly coupled inhomogeneous many-qubit systems in solid-state nanocavities

Tokman, M. D.; Behne, Alex; Torres, Brandon; Erukhimova, Maria; Wang, Yongrui; Belyanin, Alexey

doi:10.1103/physreva.107.013721

Phys. Rev. A

2023

DOI: 10.1103/physreva.107.013721

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Dissipation-driven formation of entangled dark states in strongly coupled inhomogeneous many-qubit systems in solid-state nanocavities

M. D. Tokman

Alex Behne

Brandon Torres

et al.

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Cited by 6 publications

References 75 publications

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Singly-excited resonant open quantum system Tavis-Cummings model with quantum circuit mapping

Marinkovic,

Radulaski

2023

Sci Rep

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Tavis-Cummings (TC) cavity quantum electrodynamical effects, describing the interaction of N atoms with an optical resonator, are at the core of atomic, optical and solid state physics. The full numerical simulation of TC dynamics scales exponentially with the number of atoms. By restricting the open quantum system to a single excitation, typical of experimental realizations in quantum optics, we analytically solve the TC model with an arbitrary number of atoms with linear complexity. This solution allows us to devise the Quantum Mapping Algorithm of Resonator Interaction with N Atoms (Q-MARINA), an intuitive TC mapping to a quantum circuit with linear space and time scaling, whose N+1 qubits represent atoms and a lossy cavity, while the dynamics is encoded through 2N entangling gates. Finally, we benchmark the robustness of the algorithm on a quantum simulator and superconducting quantum processors against the quantum master equation solution on a classical computer.

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Singly-excited resonant open quantum system Tavis-Cummings model with quantum circuit mapping

Marinkovic,

Radulaski

2023

Sci Rep

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Simulating the operation of a quantum computer in a dissipative environment

Zhang,

Chen,

Shi

2024

The Journal of Chemical Physics

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The operations of current quantum computers are still significantly affected by decoherence caused by interaction with the environment. In this work, we employ the non-perturbative hierarchical equations of motion (HEOM) method to simulate the operation of model quantum computers and reveal the effects of dissipation on the entangled quantum states and on the performance of well-known quantum algorithms. Multi-qubit entangled states in Shor’s factorizing algorithm are first generated and propagated using the HEOM. It is found that the failure of factorization is accompanied by a loss of fidelity and mutual information. An important challenge in using the HEOM to simulate quantum computers in a dissipative environment is how to efficiently treat systems with many qubits. We propose a two-dimensional tensor network scheme for this problem and demonstrate its capability by simulating a one-dimensional random circuit model with 21 qubits.

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Multifractality in the interacting disordered Tavis-Cummings model

Mattiotti,

Dubail,

Hagenmüller

et al. 2024

Phys. Rev. B

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Dissipation-driven formation of entangled dark states in strongly coupled inhomogeneous many-qubit systems in solid-state nanocavities

Cited by 6 publications

References 75 publications

Singly-excited resonant open quantum system Tavis-Cummings model with quantum circuit mapping

Singly-excited resonant open quantum system Tavis-Cummings model with quantum circuit mapping

Simulating the operation of a quantum computer in a dissipative environment

Multifractality in the interacting disordered Tavis-Cummings model

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