Magic phase transitions in monitored gaussian fermions

• URL: http://arxiv.org/abs/2507.07179v1
• Date: Wed, 09 Jul 2025 18:00:02 GMT
• Title: Magic phase transitions in monitored gaussian fermions
• Authors: Emanuele Tirrito, Luca Lumia, Alessio Paviglianiti, Guglielmo Lami, Alessandro Silva, Xhek Turkeshi, Mario Collura,
• Abstract summary: We show how monitoring affects magic state resources, the nonstabilizerness, of Gaussian fermionic systems.<n>This measurement-induced complexity transition highlights the power of magic-based diagnostics in revealing hidden features of monitored many-body dynamics.
• Score: 37.742691394718086
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Monitored quantum systems, where unitary dynamics compete with continuous measurements, exhibit dynamical transitions as the measurement rate is varied. These reflect abrupt changes in the structure of the evolving wavefunction, captured by complementary complexity diagnostics that include and go beyond entanglement aspects. Here, we investigate how monitoring affects magic state resources, the nonstabilizerness, of Gaussian fermionic systems. Using scalable Majorana sampling techniques, we track the evolution of stabilizer R\'enyi entropies in large systems under projective measurements. While the leading extensive (volume-law) scaling of magic remains robust across all measurement rates, we uncover a sharp transition in the subleading logarithmic corrections. This measurement-induced complexity transition, invisible to standard entanglement probes, highlights the power of magic-based diagnostics in revealing hidden features of monitored many-body dynamics.

Related papers

• Measurement-induced phase transitions by matrix product states scaling [0.0]
  We study the time evolution of long quantum spin chains subjected to continuous monitoring via matrix product states (MPS) at fixed bond dimension. We show that the error rate displays a phase transition in the monitoring strength, which can be well detected by scaling analysis with relatively low values of bond dimensions.
  arXiv  Detail & Related papers  (2024-02-20T17:22:36Z)
• Many-body Dynamics in Monitored Atomic Gases Without Post-Selection Barrier [0.0]
  We study the properties of a monitored ensemble of atoms driven by a laser field and in the presence of collective decay. Our setup is implementable in current light-matter interaction devices, and most notably, the monitored dynamics is free from the post-selection measurement problem.
  arXiv  Detail & Related papers  (2023-06-01T16:03:38Z)
• 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)
• Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain [62.997667081978825]
  We show that local projective measurements induce a modification of the out-of-equilibrium probability distribution function of the local magnetization. In particular we describe how the probability distribution of the former shows different behaviour in the area-law and volume-law regimes.
  arXiv  Detail & Related papers  (2022-12-19T12:34:37Z)
• Indication of critical scaling in time during the relaxation of an open quantum system [34.82692226532414]
  Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields. Near continuous phase transitions, associated with the divergence of a correlation length, universal power-law scaling behavior with critical exponents independent of microscopic system details is found.
  arXiv  Detail & Related papers  (2022-08-10T05:59:14Z)
• Reminiscence of classical chaos in driven transmons [117.851325578242]
  We show that even off-resonant drives can cause strong modifications to the structure of the transmon spectrum rendering a large part of it chaotic. Results lead to a photon number threshold characterizing the appearance of chaos-induced quantum demolition effects.
  arXiv  Detail & Related papers  (2022-07-19T16:04:46Z)
• Experimental Realization of a Measurement-Induced Entanglement Phase Transition on a Superconducting Quantum Processor [0.0]
  We report the realization of a measurement-induced entanglement transition on superconducting quantum processors with mid-circuit readout capability. Our work paves the way for the use of mid-circuit measurement as an effective resource for quantum simulation on near-term quantum computers.
  arXiv  Detail & Related papers  (2022-03-08T19:01:04Z)
• Diagnosing entanglement dynamics in noisy and disordered spin chains via the measurement-induced steady-state entanglement transition [0.0]
  We analyze the interplay and competition of processes that generate and destroy entanglement in a one-dimensional quantum spin chain under a noisy Hamiltonian. Our results establish a firm connection between this entanglement growth and the steady-state behavior of the measurement-controlled systems.
  arXiv  Detail & Related papers  (2021-07-23T17:16:48Z)
• Entanglement transition in a monitored free fermion chain -- from extended criticality to area law [0.0]
  We analyze the quantum trajectory dynamics of free fermions subject to continuous monitoring. For weak monitoring, we identify a novel dynamical regime of subextensive entanglement growth. For strong monitoring, however, the dynamics favors a transition into a quantum Zeno-like area-law regime.
  arXiv  Detail & Related papers  (2020-05-19T19:42:10Z)
• Universality of entanglement transitions from stroboscopic to continuous measurements [68.8204255655161]
  We show that the entanglement transition at finite coupling persists if the continuously measured system is randomly nonintegrable. This provides a bridge between a wide range of experimental settings and the wealth of knowledge accumulated for the latter systems.
  arXiv  Detail & Related papers  (2020-05-04T21:45:59Z)
• Quantum Zeno effect appears in stages [64.41511459132334]
  In the quantum Zeno effect, quantum measurements can block the coherent oscillation of a two level system by freezing its state to one of the measurement eigenstates. We show that the onset of the Zeno regime is marked by a $textitcascade of transitions$ in the system dynamics as the measurement strength is increased.
  arXiv  Detail & Related papers  (2020-03-23T18:17:36Z)

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.