Quantum Speed Limit in Terms of Coherence Variations

• URL: http://arxiv.org/abs/2410.08514v1
• Date: Fri, 11 Oct 2024 04:30:56 GMT
• Title: Quantum Speed Limit in Terms of Coherence Variations
• Authors: Zi-yi Mai, CHang-shui Yu,
• Abstract summary: We present an attainable quantum speed limit based on the variation of quantum coherence. As applications, we study the coherence quantum speed limits of the dephasing and dissipative dynamics.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Coherence is the most fundamental quantum resource in quantum information processing. How fast a physical system gets coherence or decoherence is a critical ingredient. We present an attainable quantum speed limit based on the variation of quantum coherence subject to a dynamical process. It indicates that for a 2-dimensional quantum state, one can always find corresponding dynamics driving it to evolve along the geodesic to another state with certain coherence variation. As applications, we study the coherence quantum speed limits of the dephasing and dissipative dynamics. It is shown that the dephasing dynamics can saturate our coherence quantum speed limit, and the decoherence of the state with identical populations will be faster than others. However, the dissipative dynamics have the opposite behavior. In addition, we illustrate a stronger tightness of our bound for the mentioned dynamics by comparison.

Related papers

• Dynamical Characterization of Quantum Coherence [2.7624036517702577]
  We show that for time-independent Hamiltonians, quantum coherence is the average evolution speed and vice versa. Our results definitely clarify the role coherence playing in quantum systems' dynamics, correlating quantum resources with quantum dynamics.
  arXiv  Detail & Related papers  (2024-07-16T10:21:59Z)
• Quantum coarsening and collective dynamics on a programmable quantum simulator [27.84599956781646]
  We experimentally study collective dynamics across a (2+1)D Ising quantum phase transition. By deterministically preparing and following the evolution of ordered domains, we show that the coarsening is driven by the curvature of domain boundaries. We quantitatively explore these phenomena and further observe long-lived oscillations of the order parameter, corresponding to an amplitude (Higgs) mode.
  arXiv  Detail & Related papers  (2024-07-03T16:29:12Z)
• System-environment dynamics of GHZ-like states in noninertial frames [14.401323451758975]
  Quantum coherence, quantum entanglement and quantum nonlocality are important resources in quantum information precessing. We study the dynamical evolution of the three-qubit GHZ-like states in non-inertial frame when one and/or two qubits undergo decoherence.
  arXiv  Detail & Related papers  (2022-12-30T03:36:48Z)
• Quantum Speed Limit for Change of Basis [55.500409696028626]
  We extend the notion of quantum speed limits to collections of quantum states. For two-qubit systems, we show that the fastest transformation implements two Hadamards and a swap of the qubits simultaneously. For qutrit systems the evolution time depends on the particular type of the unbiased basis.
  arXiv  Detail & Related papers  (2022-12-23T14:10:13Z)
• Quantum Instability [30.674987397533997]
  We show how a time-independent, finite-dimensional quantum system can give rise to a linear instability corresponding to that in the classical system. An unstable quantum system has a richer spectrum and a much longer recurrence time than a stable quantum system.
  arXiv  Detail & Related papers  (2022-08-05T19:53:46Z)
• Speed limits on correlations in bipartite quantum systems [1.3854111346209868]
  We derive speed limits on correlations such as entanglement, Bell-CHSH correlation, and quantum mutual information of quantum systems evolving under dynamical processes. Some of the speed limits we derived are actually attainable and hence these bounds can be considered to be tight.
  arXiv  Detail & Related papers  (2022-07-12T16:23:28Z)
• A shortcut to adiabaticity in a cavity with a moving mirror [58.720142291102135]
  We describe for the first time how to implement shortcuts to adiabaticity in quantum field theory. The shortcuts take place whenever there is no dynamical Casimir effect. We obtain a fundamental limit for the efficiency of an Otto cycle with the quantum field as a working system.
  arXiv  Detail & Related papers  (2022-02-01T20:40:57Z)
• From geometry to coherent dissipative dynamics in quantum mechanics [68.8204255655161]
  We work out the case of finite-level systems, for which it is shown by means of the corresponding contact master equation. We describe quantum decays in a 2-level system as coherent and continuous processes.
  arXiv  Detail & Related papers  (2021-07-29T18:27:38Z)
• Time-optimal quantum transformations with bounded bandwidth [0.0]
  We derive sharp lower bounds, also known as quantum speed limits, for the time it takes to transform a quantum system into a state. In a final section, we use the quantum speed limits to obtain upper bounds on the power with which energy can be extracted from quantum batteries.
  arXiv  Detail & Related papers  (2020-11-24T08:42:08Z)
• Demonstration of quantum brachistochrones between distant states of an atom [0.0]
  We show fast coherent transport of an atomic wave packet over a distance of 15 times its size. Results shed light upon a fundamental limit of quantum state dynamics and are expected to find relevant applications in quantum sensing and quantum computing.
  arXiv  Detail & Related papers  (2020-09-04T15:00:11Z)
• Operational Resource Theory of Imaginarity [48.7576911714538]
  We show that quantum states are easier to create and manipulate if they only have real elements. As an application, we show that imaginarity plays a crucial role for state discrimination.
  arXiv  Detail & Related papers  (2020-07-29T14:03:38Z)

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.