Quantify the Non-Markovian Process with Intervening Projections in a Superconducting Processor

• URL: http://arxiv.org/abs/2105.03333v2
• Date: Fri, 18 Jun 2021 04:26:02 GMT
• Title: Quantify the Non-Markovian Process with Intervening Projections in a Superconducting Processor
• Authors: Liang Xiang, Zhiwen Zong, Ze Zhan, Ying Fei, Chongxin Run, Yaozu Wu, Wenyan Jin, Zhilong Jia, Peng Duan, Jianlan Wu, Yi Yin and Guoping Guo
• Abstract summary: In the quantum regime, it is challenging to define or quantify the non-MarkovianMarkity because the measurement of a quantum system often interferes with it. We simulate the open quantum dynamics in a superconducting processor, then characterize and quantify the non-Markovian process.
• Score: 1.9790421227325208
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: A Markov assumption considers a physical system memoryless to simplify its dynamics. Whereas memory effect or the non-Markovian phenomenon is more general in nature. In the quantum regime, it is challenging to define or quantify the non-Markovianity because the measurement of a quantum system often interferes with it. We simulate the open quantum dynamics in a superconducting processor, then characterize and quantify the non-Markovian process. With the complete set of intervening projections and the final measurement of the qubit, a restricted process tensor can be determined to account for the qubit-environment interaction. We apply the process tensor to predict the quantum state with memory effect, yielding an average fidelity of $99.86\%\pm 1.1\unicode{x2030}$. We further derive the Choi state of the rest process conditioned on history operations and quantify the non-Markovianity with a clear operational interpretation.

Related papers

• Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
  We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution. We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions. We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
  arXiv  Detail & Related papers  (2024-05-27T17:40:39Z)
• Semi-device-independent certification of quantum non-Markovianity using sequential Random Access Codes [0.3262230127283452]
  We investigate multi-time processes using the process matrix formalism. We show that the presence of a quantum non-Markovian environment plays a significant role in enhancing the communication capacity.
  arXiv  Detail & Related papers  (2023-09-28T06:21:24Z)
• Measurement-induced entanglement and teleportation on a noisy quantum processor [105.44548669906976]
  We investigate measurement-induced quantum information phases on up to 70 superconducting qubits. We use a duality mapping, to avoid mid-circuit measurement and access different manifestations of the underlying phases. Our work demonstrates an approach to realize measurement-induced physics at scales that are at the limits of current NISQ processors.
  arXiv  Detail & Related papers  (2023-03-08T18:41:53Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Selective and efficient quantum process tomography for non-trace preserving maps: a superconducting quantum processor implementation [0.0]
  We describe a general type of quantum process that does not preserve the trace of the input quantum state. We show that with the aid of it a priori information on the losses structure of the quantum channel, the reconstruction can be adapted to reconstruct the non-trace-preserving map. Our results show that it is possible to efficiently reconstruct non trace-preserving processes, with high precision, and with significantly higher fidelity than when the process is assumed to be trace-preserving.
  arXiv  Detail & Related papers  (2022-05-20T22:36:16Z)
• Memory Complexity of Quantum Processes [0.0]
  Generic open quantum dynamics can be described by two seemingly very distinct approaches. The process tensor framework describes all the possible observations one could possibly make on a quantum system. The intimate connection between quantum processes and classical processes is drawn in the end.
  arXiv  Detail & Related papers  (2022-03-03T03:04:33Z)
• Quantum simulation of parity-time symmetry breaking with a superconducting quantum processor [0.0]
  We simulate the evolution under such Hamiltonians in the quantum regime on a superconducting quantum processor. In a two-qubit setting, we show that the entanglement can be modified by local operations.
  arXiv  Detail & Related papers  (2021-11-23T17:43:44Z)
• Preserving quantum correlations and coherence with non-Markovianity [50.591267188664666]
  We demonstrate the usefulness of non-Markovianity for preserving correlations and coherence in quantum systems. For covariant qubit evolutions, we show that non-Markovianity can be used to preserve quantum coherence at all times.
  arXiv  Detail & Related papers  (2021-06-25T11:52:51Z)
• Continuous-time dynamics and error scaling of noisy highly-entangling quantum circuits [58.720142291102135]
  We simulate a noisy quantum Fourier transform processor with up to 21 qubits. We take into account microscopic dissipative processes rather than relying on digital error models. We show that depending on the dissipative mechanisms at play, the choice of input state has a strong impact on the performance of the quantum algorithm.
  arXiv  Detail & Related papers  (2021-02-08T14:55:44Z)
• Information Scrambling in Computationally Complex Quantum Circuits [56.22772134614514]
  We experimentally investigate the dynamics of quantum scrambling on a 53-qubit quantum processor. We show that while operator spreading is captured by an efficient classical model, operator entanglement requires exponentially scaled computational resources to simulate.
  arXiv  Detail & Related papers  (2021-01-21T22:18:49Z)
• Demonstration of non-Markovian process characterisation and control on a quantum processor [0.0]
  Non-Markovian noise poses a serious challenge to the progression of quantum technology. We develop a framework for characterising non-Markovian dynamics in quantum systems. Our results show this characterisation technique leads to superior quantum control and extension of coherence time.
  arXiv  Detail & Related papers  (2020-04-29T08:29:29Z)

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.