Minimal time required to charge a quantum system

• URL: http://arxiv.org/abs/2308.16086v2
• Date: Mon, 26 Feb 2024 06:44:38 GMT
• Title: Minimal time required to charge a quantum system
• Authors: Ju-Yeon Gyhm, Dario Rosa, and Dominik \v{S}afr\'anek
• Abstract summary: This research formalizes and interprets quantum charging in a geometric way. It provides a measurable quantity that one can optimize for to maximize the speed of charging of future quantum batteries.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: We introduce a quantum charging distance as the minimal time that it takes to reach one state (charged state) from another state (depleted state) via a unitary evolution, assuming limits on the resources invested into the driving Hamiltonian. For pure states it is equal to the Bures angle, while for mixed states, its computation leads to an optimization problem. Thus, we also derive easily computable bounds on this quantity. The charging distance tightens the known bound on the mean charging power of a quantum battery, it quantifies the quantum charging advantage, and it leads to an always achievable quantum speed limit. In contrast with other similar quantities, the charging distance does not depend on the eigenvalues of the density matrix, it depends only on the corresponding eigenspaces. This research formalizes and interprets quantum charging in a geometric way, and provides a measurable quantity that one can optimize for to maximize the speed of charging of future quantum batteries.

Related papers

• Entanglement and steering in quantum batteries [0.0]
  We introduce quantum steering as a new quantum resource into batteries for the first time. We analyze the relationship between quantum steering, quantum entanglement, energy storage, and extractable work.
  arXiv  Detail & Related papers  (2024-06-10T15:35:36Z)
• Coupled vertical double quantum dots at single-hole occupancy [37.69303106863453]
  We control vertical double quantum dots confined in a double quantum well, silicon-germanium heterostructure. We sense individual charge transitions with a single-hole transistor. tuning the vertical double quantum dot to the (1,1) charge state confines a single hole in each quantum well beneath a single plunger gate.
  arXiv  Detail & Related papers  (2024-01-15T14:46:40Z)
• Beneficial and detrimental entanglement for quantum battery charging [0.0]
  We assess the potential advantage of using highly entangled quantum states between the initial and final states of the charging protocol. We show that the quantum state advantage of battery charging, defined as the power obtainable for given quantum speed limit and battery energy gap, is not an entanglement monotone.
  arXiv  Detail & Related papers  (2023-03-14T12:27:46Z)
• 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)
• The power of noisy quantum states and the advantage of resource dilution [62.997667081978825]
  Entanglement distillation allows to convert noisy quantum states into singlets. We show that entanglement dilution can increase the resilience of shared quantum states to local noise.
  arXiv  Detail & Related papers  (2022-10-25T17:39:29Z)
• 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)
• Quantifying the difference between many-body quantum states [0.0]
  We introduce the weighted distances, a new class of information-theoretic measures. They quantify how hard it is to discriminate between two quantum states of many particles. They can be used to evaluate both the theoretical and the experimental performances of complex quantum devices.
  arXiv  Detail & Related papers  (2020-12-10T12:10:09Z)
• 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)
• Boundaries of quantum supremacy via random circuit sampling [69.16452769334367]
  Google's recent quantum supremacy experiment heralded a transition point where quantum computing performed a computational task, random circuit sampling. We examine the constraints of the observed quantum runtime advantage in a larger number of qubits and gates.
  arXiv  Detail & Related papers  (2020-05-05T20:11:53Z)
• Jumptime unraveling of Markovian open quantum systems [68.8204255655161]
  We introduce jumptime unraveling as a distinct description of open quantum systems. quantum jump trajectories emerge, physically, from continuous quantum measurements. We demonstrate that quantum trajectories can also be ensemble-averaged at specific jump counts.
  arXiv  Detail & Related papers  (2020-01-24T09:35:32Z)

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.