Enhanced TEMPO Algorithm for Quantum Path Integrals with Off-Diagonal System-Bath Coupling: Applications to Photonic Quantum Networks

Richter, Marten; Hughes, Stephen

doi:10.1103/physrevlett.128.167403

Cited by 11 publications

(3 citation statements)

References 76 publications

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“…Equation defines an exact linear map E t , 0 for non-Markovian quantum dynamics of the subsystem. Several numerically efficient implementations are available, such as QuAPI, , QCPI, − SMatPI, − HEOM, − TEMPO, − TNPI, , etc. In this work, we use TNPI to generate the linear map (i.e., the superoperator).…”

Section: Generation Of the Linear Map E T 0 For Exact Non-ma...mentioning

confidence: 99%

Exact Non-Markovian Quantum Dynamics on the NISQ Device Using Kraus Operators

Seneviratne,

Walters,

Wang

2024

ACS Omega

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The theory of open quantum systems has many applications ranging from simulating quantum dynamics in condensed phases to better understanding quantum-enabled technologies. At the center of theoretical chemistry are the developments of methodologies and computational tools for simulating charge and excitation energy transfer in solutions, biomolecules, and molecular aggregates. As a variety of these processes display non-Markovian behavior, classical computer simulation can be challenging due to exponential scaling with existing methods. With quantum computers holding the promise of efficient quantum simulations, in this paper, we present a new quantum algorithm based on Kraus operators that capture the exact non-Markovian effect at a finite temperature. The implementation of the Kraus operators on the quantum machine uses a combination of singular value decomposition (SVD) and optimal Walsh operators that result in shallow circuits. We demonstrate the feasibility of the algorithm by simulating the spin-boson dynamics and the exciton transfer in the Fenna−Matthews−Olson (FMO) complex. The NISQ results show very good agreement with the exact ones.

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Section: Generation Of the Linear Map E T 0 For Exact Non-ma...mentioning

confidence: 99%

Exact Non-Markovian Quantum Dynamics on the NISQ Device Using Kraus Operators

Seneviratne,

Walters,

Wang

2024

ACS Omega

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“…This numerical approach allows one to simulate a system with linear coupling to a reservoir of harmonic oscillators, with arbitrary forms and strengths of system-reservoir coupling. The method has been applied to a variety of problems in open quantum systems [24][25][26][27][28][29][30][31][32]. It has also been used to make conceptual connections to the process tensor (PT) formulation of open quantum systems [33,34].…”

Section: Imaginary-time Tempomentioning

confidence: 99%

Numerical evaluation and robustness of the quantum mean-force Gibbs state

2022

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We introduce a numerical method to determine the Hamiltonian of Mean Force (HMF) Gibbs state for a quantum system strongly coupled to a reservoir. The method adapts the Time Evolving Matrix Product Operator (TEMPO) algorithm to imaginary time propagation. By comparing the real-time and imaginary-time propagation for a generalized spin-boson model, we confirm that the HMF Gibbs state correctly predicts the steady state. We show that the numerical dynamics match the polaron master equation at strong coupling. We illustrate the potential of the imaginary-time TEMPO approach by exploring reservoir-induced entanglement between qubits.

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“…Process tensor matrix product operator (PT-MPO) methods are a class of numerical methods based upon the process tensor (PT) description of open quantum system dynamics [28][29][30][31][32][33][34]. The PT captures all possible effects of the environment on a system.…”

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confidence: 99%

Efficient Many-Body Non-Markovian Dynamics of Organic Polaritons

Fowler-Wright

Lovett²,

Keeling³

2022

Phys. Rev. Lett.

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We show how to simulate a model of many molecules with both strong coupling to many vibrational modes and collective coupling to a single photon mode. We do this by combining process tensor matrix product operator methods with a mean-field approximation which reduces the dimension of the problem. We analyze the steady state of the model under incoherent pumping to determine the dependence of the polariton lasing threshold on cavity detuning, light-matter coupling strength, and environmental temperature. Moreover, by measuring two-time correlations, we study quadratic fluctuations about the mean field to calculate the photoluminescence spectrum. Our method enables one to simulate many-body systems with strong coupling to multiple environments, and to extract both static and dynamical properties.

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Enhanced TEMPO Algorithm for Quantum Path Integrals with Off-Diagonal System-Bath Coupling: Applications to Photonic Quantum Networks

Cited by 11 publications

References 76 publications

Exact Non-Markovian Quantum Dynamics on the NISQ Device Using Kraus Operators

Exact Non-Markovian Quantum Dynamics on the NISQ Device Using Kraus Operators

Numerical evaluation and robustness of the quantum mean-force Gibbs state

Efficient Many-Body Non-Markovian Dynamics of Organic Polaritons

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