Towards Quantum Simulation of Non-Markovian Open Quantum Dynamics: A
Universal and Compact Theory
- URL: http://arxiv.org/abs/2401.17255v2
- Date: Fri, 9 Feb 2024 02:54:29 GMT
- Title: Towards Quantum Simulation of Non-Markovian Open Quantum Dynamics: A
Universal and Compact Theory
- Authors: Xiang Li, Su-Xiang Lyu, Yao Wang, Rui-Xue Xu, Xiao Zheng, YiJing Yan
- Abstract summary: We develop dissipaton-embedded quantum master equation in second quantization (DQME-SQ)
Our new theoretical developments pave the way for efficient exploration of complex open quantum systems.
- Score: 11.346520819113037
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Non-Markovianity, the intricate dependence of an open quantum system on its
temporal evolution history, holds tremendous implications across various
scientific disciplines. However, accurately characterizing the complex
non-Markovian effects has posed a formidable challenge for numerical
simulations. Despite the promising potential of emerging quantum computing
technologies, the pursuit of a universal theory enabling practical
implementation of quantum computation algorithms remains ongoing. In this
paper, we present a major advancement in bridging this critical gap: the
development of dissipaton-embedded quantum master equation in second
quantization (DQME-SQ). The DQME-SQ is an exact and compact theory, and its
unique capabilities are demonstrated through digital quantum simulations of
non-Markovian dissipative dynamics in both bosonic and fermionic environments.
Our new theoretical developments pave the way for efficient exploration of
complex open quantum systems.
Related papers
- Simulation of open quantum systems on universal quantum computers [15.876768787615179]
We present an innovative and scalable method to simulate open quantum systems using quantum computers.
We define an adjoint density matrix as a counterpart of the true density matrix, which reduces to a mixed-unitary quantum channel.
accurate long-time simulation can also be achieved as the adjoint density matrix and the true dissipated one converges to the same state.
arXiv Detail & Related papers (2024-05-31T09:07:27Z) - Quantum Tunneling: From Theory to Error-Mitigated Quantum Simulation [49.1574468325115]
This study presents the theoretical background and the hardware aware circuit implementation of a quantum tunneling simulation.
We use error mitigation techniques (ZNE and REM) and multiprogramming of the quantum chip for solving the hardware under-utilization problem.
arXiv Detail & Related papers (2024-04-10T14:27:07Z) - Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
We explore the applicability of quantum-data learning to practical problems in high-energy physics.
We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states.
The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
arXiv Detail & Related papers (2023-06-29T18:00:01Z) - Succinct Description and Efficient Simulation of Non-Markovian Open
Quantum Systems [1.713291434132985]
Non-Markovian open quantum systems represent the most general dynamics when the quantum system is coupled with a bath environment.
We provide a succinct representation of the dynamics of non-Markovian open quantum systems with quantifiable error.
We also develop an efficient quantum algorithm for simulating such dynamics.
arXiv Detail & Related papers (2021-11-05T03:35:50Z) - Experimental simulation of open quantum system dynamics via
Trotterization [8.581263348642212]
We experimentally demonstrate a digital simulation of an open quantum system in a controllable Markovian environment.
By Trotterizing the quantum Liouvillians, the continuous evolution of an open quantum system is effectively realized.
High-order Trotter for open quantum dynamics is also experimentally investigated and shows higher accuracy.
arXiv Detail & Related papers (2021-08-05T06:17:26Z) - Standard Model Physics and the Digital Quantum Revolution: Thoughts
about the Interface [68.8204255655161]
Advances in isolating, controlling and entangling quantum systems are transforming what was once a curious feature of quantum mechanics into a vehicle for disruptive scientific and technological progress.
From the perspective of three domain science theorists, this article compiles thoughts about the interface on entanglement, complexity, and quantum simulation.
arXiv Detail & Related papers (2021-07-10T06:12:06Z) - Efficient Quantum Simulation of Open Quantum System Dynamics on Noisy
Quantum Computers [0.0]
We show that quantum dissipative dynamics can be simulated efficiently across coherent-to-incoherent regimes.
This work provides a new direction for quantum advantage in the NISQ era.
arXiv Detail & Related papers (2021-06-24T10:37:37Z) - Imaginary Time Propagation on a Quantum Chip [50.591267188664666]
Evolution in imaginary time is a prominent technique for finding the ground state of quantum many-body systems.
We propose an algorithm to implement imaginary time propagation on a quantum computer.
arXiv Detail & Related papers (2021-02-24T12:48:00Z) - Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states.
Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
arXiv Detail & Related papers (2020-07-23T19:05:56Z) - Digital quantum simulation framework for energy transport in an open
quantum system [1.9551668880584971]
Digital quantum simulations offer greater universality and flexibility over analog simulations.
We give a theoretical framework for digital quantum simulation of ENAQT by introducing new quantum evolution operators.
We simulate the FMO complex in the digital setting, reproducing theoretical and experimental evidence of the dynamics.
arXiv Detail & Related papers (2020-06-25T02:12:11Z) - An Application of Quantum Annealing Computing to Seismic Inversion [55.41644538483948]
We apply a quantum algorithm to a D-Wave quantum annealer to solve a small scale seismic inversions problem.
The accuracy achieved by the quantum computer is at least as good as that of the classical computer.
arXiv Detail & Related papers (2020-05-06T14:18:44Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.