Identifying and harnessing dynamical phase transitions for quantum-enhanced sensing

• URL: http://arxiv.org/abs/2103.13418v3
• Date: Tue, 17 Aug 2021 19:30:38 GMT
• Title: Identifying and harnessing dynamical phase transitions for quantum-enhanced sensing
• Authors: Qingze Guan and Robert J. Lewis-Swan
• Abstract summary: We use the quantum Fisher information (QFI) to diagnose a dynamical phase transition (DPT) in a closed quantum system. Motivated by the QFI as a quantifier of metrologically useful correlations and entanglement, we also present a robust interferometric protocol.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We use the quantum Fisher information (QFI) to diagnose a dynamical phase transition (DPT) in a closed quantum system, which is usually defined in terms of non-analytic behaviour of a time-averaged order parameter. Employing the Lipkin-Meshkov-Glick model as an illustrative example, we find that the DPT correlates with a peak in the QFI that can be explained by a generic connection to an underlying excited-state quantum phase transition that also enables us to also relate the scaling of the QFI with the behaviour of the order parameter. Motivated by the QFI as a quantifier of metrologically useful correlations and entanglement, we also present a robust interferometric protocol that can enable DPTs as a platform for quantum-enhanced sensing.

Related papers

• Quantum metrological capability as a probe for quantum phase transition [1.5574423250822542]
  The metrological capability quantified by the quantum Fisher information captivatingly shows an unique peak in the vicinity of the quantum critical point. We show that the probing can be implemented by extracting quantum fluctuations of the interferometric generator.
  arXiv  Detail & Related papers  (2024-08-19T08:18:03Z)
• Generalized phase estimation in noisy quantum gates [0.0]
  We focus on qubit gates and consider the possibility of employing successive applications of the gate. We model the dephasing and tilting noise affecting qubit rotations as classical fluctuations governed by a Von Mises-Fisher distribution.
  arXiv  Detail & Related papers  (2024-06-03T17:59:33Z)
• Scaling of quantum Fisher information for quantum exceptional point sensors [18.33055905849827]
  In recent years, significant progress has been made in utilizing the divergence of spectrum response rate at the exceptional point (EP) for sensing in classical systems. For a quantum EP sensor, an important issue is the relation between the order of the quantum EP and the scaling of quantum Fisher information (QFI)
  arXiv  Detail & Related papers  (2024-04-04T20:47:54Z)
• Quantum multiparameter estimation enhanced by a topological phase transition [3.188072216541844]
  In a quantum dynamics system, multiple to-be-estimated parameters are encoded by a unitary evolution. As the parameters vary, the system may undergo a topological phase transition (TPT) We propose the singular behavior of the quantum metric tensor around the TPT point as a tool for the simultaneous optimal estimation of multiple parameters.
  arXiv  Detail & Related papers  (2024-02-11T02:52:39Z)
• Decoding Measurement-Prepared Quantum Phases and Transitions: from Ising model to gauge theory, and beyond [3.079076817894202]
  Measurements allow efficient preparation of interesting quantum many-body states with long-range entanglement. We demonstrate that the so-called conformal quantum critical points can be obtained by performing general single-site measurements.
  arXiv  Detail & Related papers  (2022-08-24T17:59:58Z)
• Protocols for Trainable and Differentiable Quantum Generative Modelling [21.24186888129542]
  We propose an approach for learning probability distributions as differentiable quantum circuits (DQC) We perform training of a DQC-based model, where data is encoded in a latent space with a phase feature map, followed by a variational quantum circuit. This allows fast sampling from parametrized distributions using a single-shot readout.
  arXiv  Detail & Related papers  (2022-02-16T18:55:48Z)
• Probing the topological Anderson transition with quantum walks [48.7576911714538]
  We consider one-dimensional quantum walks in optical linear networks with synthetically introduced disorder and tunable system parameters. The option to directly monitor the walker's probability distribution makes this optical platform ideally suited for the experimental observation of the unique signatures of the one-dimensional topological Anderson transition.
  arXiv  Detail & Related papers  (2021-02-01T21:19:15Z)
• Using Quantum Metrological Bounds in Quantum Error Correction: A Simple Proof of the Approximate Eastin-Knill Theorem [77.34726150561087]
  We present a proof of the approximate Eastin-Knill theorem, which connects the quality of a quantum error-correcting code with its ability to achieve a universal set of logical gates. Our derivation employs powerful bounds on the quantum Fisher information in generic quantum metrological protocols.
  arXiv  Detail & Related papers  (2020-04-24T17:58:10Z)
• Protecting quantum Fisher information in correlated quantum channels [1.2183405753834562]
  We investigate Quantum Fisher information (QFI) when the consecutive actions of a quantum channel on the sequence of qubits have partial classical correlations. For the Bell-type probe states, the classical correlations on consecutive actions of the depolarizing and phase flip channels can be harnessed to improve QFI. For a more general parameterization form of the probe states, the advantage of using initial correlated system on improving QFI can also be remained in a wide regime of the correlated quantum channels.
  arXiv  Detail & Related papers  (2020-03-06T03:02:58Z)
• Quantum Statistical Complexity Measure as a Signalling of Correlation Transitions [55.41644538483948]
  We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions. We apply our measure to two exactly solvable Hamiltonian models, namely: the $1D$-Quantum Ising Model and the Heisenberg XXZ spin-$1/2$ chain. We also compute this measure for one-qubit and two-qubit reduced states for the considered models, and analyse its behaviour across its quantum phase transitions for finite system sizes as well as in the thermodynamic limit by using Bethe ansatz.
  arXiv  Detail & Related papers  (2020-02-05T00:45:21Z)
• In and out of equilibrium quantum metrology with mean-field quantum criticality [68.8204255655161]
  We study the influence that collective transition phenomena have on quantum metrological protocols. The single spherical quantum spin (SQS) serves as stereotypical toy model that allows analytical insights on a mean-field level.
  arXiv  Detail & Related papers  (2020-01-09T19:20:42Z)

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.