Experimental demonstration of scalable cross-entropy benchmarking to detect measurement-induced phase transitions on a superconducting quantum processor

• URL: http://arxiv.org/abs/2403.00938v2
• Date: Sat, 10 May 2025 00:04:04 GMT
• Title: Experimental demonstration of scalable cross-entropy benchmarking to detect measurement-induced phase transitions on a superconducting quantum processor
• Authors: Hirsh Kamakari, Jiace Sun, Yaodong Li, Jonathan J. Thio, Tanvi P. Gujarati, Matthew P. A. Fisher, Mario Motta, Austin J. Minnich,
• Abstract summary: A new protocol to detect entanglement phase transitions using linear cross entropy was proposed.<n>We report demonstrations of this protocol in systems with one-dimensional and all-to-all connectivities on IBM's quantum hardware on up to 22 qubits.<n>Our demonstration of the cross entropy benchmark paves the way for studies of measurement-induced entanglement phase transitions and associated critical phenomena on larger near-term quantum systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Quantum systems subject to random unitary evolution and measurements at random points in spacetime exhibit entanglement phase transitions which depend on the frequency of these measurements. Past work has experimentally observed entanglement phase transitions on near-term quantum computers, but the characterization approach using entanglement entropy is not scalable due to exponential overhead of quantum state tomography and postselection. Recently, an alternative protocol to detect entanglement phase transitions using linear cross entropy was proposed, attempting to eliminate both bottlenecks. Here, we report demonstrations of this protocol in systems with one-dimensional and all-to-all connectivities on IBM's quantum hardware on up to 22 qubits, a regime which is presently inaccessible if postselection is required. We demonstrate data collapses onto scaling functions with critical exponents in semiquantitative agreement with theory. Our demonstration of the cross entropy benchmark (XEB) protocol paves the way for studies of measurement-induced entanglement phase transitions and associated critical phenomena on larger near-term quantum systems.

Related papers

• Unraveling-induced entanglement phase transition in diffusive trajectories of continuously monitored noninteracting fermionic systems [0.0]
  We show a transition from a phase with area-law entanglement to one where entanglement scales logarithmically with the system size. Our findings may be relevant for tailoring quantum correlations in noisy quantum devices.
  arXiv  Detail & Related papers  (2024-06-07T12:08:07Z)
• 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)
• Quantifying measurement-induced quantum-to-classical crossover using an open-system entanglement measure [49.1574468325115]
  We study the entanglement of a single particle under continuous measurements. We find that the entanglement at intermediate time scales shows the same qualitative behavior as a function of the measurement strength.
  arXiv  Detail & Related papers  (2023-04-06T09:45:11Z)
• 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)
• Exponential shortcut to measurement-induced entanglement phase transitions [0.0]
  Recently discovered measurement-induced entanglement phase transitions in monitored quantum circuits provide a novel example of far-from-equilibrium quantum criticality. We propose a highly efficient strategy for experimentally accessing these transitions through fluctuations. Remarkably, the phase transition can be revealed by measuring fluctuations of only a handful of qubits.
  arXiv  Detail & Related papers  (2023-02-27T18:54:57Z)
• 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)
• Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics [62.997667081978825]
  We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality. We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
  arXiv  Detail & Related papers  (2022-06-03T18:00:02Z)
• 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)
• Determining ground-state phase diagrams on quantum computers via a generalized application of adiabatic state preparation [61.49303789929307]
  We use a local adiabatic ramp for state preparation to allow us to directly compute ground-state phase diagrams on a quantum computer via time evolution. We are able to calculate an accurate phase diagram on both two and three site systems using IBM quantum machines.
  arXiv  Detail & Related papers  (2021-12-08T23:59:33Z)
• Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains [0.0]
  Quantum systems evolving unitarily and subject to quantum measurements exhibit various types of non-equilibrium phase transitions. Dissipative phase transitions in steady states of time-independent Liouvillians and measurement induced phase transitions are two primary examples. We show that a dissipative phase transition between a ferromagnetic ordered phase and a paramagnetic disordered phase emerges for long-range systems.
  arXiv  Detail & Related papers  (2021-07-12T18:18:54Z)
• Entanglement entropy scaling transition under competing monitoring protocols [0.0]
  We analyze the competition between two different dissipation channels arising from two incompatible continuous monitoring protocols. By studying the trajectory of quantum trajectories associated with the continuous monitoring protocols, we present a transition for the scaling of the averaged entanglement entropies.
  arXiv  Detail & Related papers  (2020-08-19T18:23:01Z)
• 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)
• Unsupervised machine learning of quantum phase transitions using diffusion maps [77.34726150561087]
  We show that the diffusion map method, which performs nonlinear dimensionality reduction and spectral clustering of the measurement data, has significant potential for learning complex phase transitions unsupervised. This method works for measurements of local observables in a single basis and is thus readily applicable to many experimental quantum simulators.
  arXiv  Detail & Related papers  (2020-03-16T18:40:13Z)
• 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)

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.