Separate measurement- and feedback-driven entanglement transitions in the stochastic control of chaos

• URL: http://arxiv.org/abs/2309.04520v1
• Date: Fri, 8 Sep 2023 18:00:01 GMT
• Title: Separate measurement- and feedback-driven entanglement transitions in the stochastic control of chaos
• Authors: Conner LeMaire, Andrew A. Allocca, J. H. Pixley, Thomas Iadecola, Justin H. Wilson
• Abstract summary: We study measurement-induced entanglement and control phase transitions in a quantum analog of the Bernoulli map. When entangling gates are restricted to the Clifford group, separate entanglement ($p_mathrment$) and control ($p_mathrmctrl$) transitions emerge.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study measurement-induced entanglement and control phase transitions in a quantum analog of the Bernoulli map subjected to a classically-inspired control protocol. When entangling gates are restricted to the Clifford group, separate entanglement ($p_\mathrm{ent}$) and control ($p_\mathrm{ctrl}$) transitions emerge, revealing two distinct universality classes. The control transition has critical exponents $\nu$ and $z$ consistent with the classical map (a random walk) while the entanglement transition is revealed to have similar exponents as the measurement-induced phase transition in Clifford hybrid dynamics. This is distinct from the case of generic entangling gates in the same model, where $p_\mathrm{ent} = p_\mathrm{ctrl}$ and universality is controlled by the random walk.

Related papers

• KPZ scaling from the Krylov space [83.88591755871734]
  Recently, a superdiffusion exhibiting the Kardar-Parisi-Zhang scaling in late-time correlators and autocorrelators has been reported. Inspired by these results, we explore the KPZ scaling in correlation functions using their realization in the Krylov operator basis.
  arXiv  Detail & Related papers  (2024-06-04T20:57:59Z)
• Local and nonlocal stochastic control of quantum chaos: Measurement- and control-induced criticality [0.0]
  We study the universality of the phase diagram of a family of quantum models inspired by the classical Bernoulli map under topology control. The quantum models inherit a control-induced phase transition from the classical model and also manifest an intrinsic entanglement phase transition to the quantum setting.
  arXiv  Detail & Related papers  (2024-05-23T18:00:01Z)
• Statistical Mechanics of Stochastic Quantum Control: $d$-adic Rényi Circuits [0.0]
  We study the dynamics of quantum information in many-body systems with large onsite dimension quantities. We reveal a connection between three separate models: the classically chaotic $d$-adic R'nyi map with universality control, a quantum analog of this map for qudits, and a Potts model on a random graph.
  arXiv  Detail & Related papers  (2024-04-24T18:00:00Z)
• Quantum control landscape for generation of $H$ and $T$ gates in an open qubit with both coherent and environmental drive [57.70351255180495]
  An important problem in quantum computation is generation of single-qubit quantum gates such as Hadamard ($H$) and $pi/8$ ($T$) Here we consider the problem of optimal generation of $H$ and $T$ gates using coherent control and the environment as a resource acting on the qubit via incoherent control.
  arXiv  Detail & Related papers  (2023-09-05T09:05:27Z)
• Control landscape of measurement-assisted transition probability for a three-level quantum system with dynamical symmetry [77.34726150561087]
  Quantum systems with dynamical symmetries have conserved quantities which are preserved under coherent controls. Incoherent control can increase the maximal attainable transition probability. We show that all critical points are global maxima, global minima, saddle points and second order traps.
  arXiv  Detail & Related papers  (2023-07-14T16:12:21Z)
• Renormalization group for measurement and entanglement phase transitions [0.0]
  We analyze the renormalization-group (RG) flows of two effective Lagrangians. We show that the theory for the random tensor network formally possesses a dimensional reduction property analogous to that of the random-field Ising model.
  arXiv  Detail & Related papers  (2023-03-14T12:40:03Z)
• Quantum Gate Generation in Two-Level Open Quantum Systems by Coherent and Incoherent Photons Found with Gradient Search [77.34726150561087]
  We consider an environment formed by incoherent photons as a resource for controlling open quantum systems via an incoherent control. We exploit a coherent control in the Hamiltonian and an incoherent control in the dissipator which induces the time-dependent decoherence rates.
  arXiv  Detail & Related papers  (2023-02-28T07:36:02Z)
• Geometric phases along quantum trajectories [58.720142291102135]
  We study the distribution function of geometric phases in monitored quantum systems. For the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle. For the same parameters, the density matrix does not show any interference.
  arXiv  Detail & Related papers  (2023-01-10T22:05:18Z)
• Measurement-induced criticality in extended and long-range unitary circuits [0.0]
  We find the range of interactions plays a key role in characterizing both phases and their measurement-induced transitions. For the cluster unitary gates we find a transition between a phase with volume-law scaling of the entanglement entropy and a phase with area-law entanglement entropy. In the case of power-law distributed gates, we find the universality class of the phase transition changes continuously with the parameter controlling the range of interactions.
  arXiv  Detail & Related papers  (2021-10-27T12:55:07Z)
• Decoherent Quench Dynamics across Quantum Phase Transitions [0.0]
  We formulate decoherent dynamics induced by continuous quantum non-demolition measurements of the instantaneous Hamiltonian. We generalize the well-studied universal Kibble-Zurek behavior for linear temporal drive across the critical point. We show that the freeze-out time scale can be probed from the relaxation of the Hall conductivity.
  arXiv  Detail & Related papers  (2021-03-14T23:43:55Z)
• Anisotropy-mediated reentrant localization [62.997667081978825]
  We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems. We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
  arXiv  Detail & Related papers  (2020-01-31T19:00:01Z)

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.