Collective randomized measurements in quantum information processing

• URL: http://arxiv.org/abs/2309.10745v2
• Date: Thu, 8 Aug 2024 19:19:56 GMT
• Title: Collective randomized measurements in quantum information processing
• Authors: Satoya Imai, Géza Tóth, Otfried Gühne,
• Abstract summary: We introduce $textitcollective$ randomized measurements as a tool in quantum information processing. We propose systematic approaches to characterize quantum entanglement in a collective-reference-frame-independent manner.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The concept of randomized measurements on individual particles has proven to be useful for analyzing quantum systems and is central for methods like shadow tomography of quantum states. We introduce $\textit{collective}$ randomized measurements as a tool in quantum information processing. Our idea is to perform measurements of collective angular momentum on a quantum system and actively rotate the directions using simultaneous multilateral unitaries. Based on the moments of the resulting probability distribution, we propose systematic approaches to characterize quantum entanglement in a collective-reference-frame-independent manner. First, we show that existing spin-squeezing inequalities can be accessible in this scenario. Next, we present an entanglement criterion based on three-body correlations, going beyond spin-squeezing inequalities with two-body correlations. Finally, we apply our method to characterize entanglement between spatially-separated two ensembles.

Related papers

• Reference-frame-independent quantum metrology [0.0]
  We present systematic methods for conducting nonlinear quantum metrology in scenarios lacking a common reference frame. We derive the metrological precision using an error propagation formula based solely on local unitary invariants. We analyze our results in the context of local decoherence and discuss its influences on the observed scaling.
  arXiv  Detail & Related papers  (2024-10-14T13:59:08Z)
• Analysing quantum systems with randomised measurements [0.4179230671838898]
  We present the advancements made in utilising randomised measurements in various scenarios of quantum information science. We describe how to detect and characterise different forms of entanglement, including genuine multipartite entanglement and bound entanglement. We also present an overview on the estimation of non-linear functions of quantum states and shadow tomography from randomised measurements.
  arXiv  Detail & Related papers  (2023-07-03T18:00:01Z)
• Measurement-induced multipartite-entanglement regimes in collective spin systems [0.0]
  We study the competing effects of collective generalized measurements and interaction-induced scrambling in the dynamics of an ensemble of spin-1/2 particles. We show that the interplay between collective unitary dynamics and measurements leads to three regimes of the average Quantum Fisher Information.
  arXiv  Detail & Related papers  (2023-05-17T13:34:20Z)
• Continuously Monitored Quantum Systems beyond Lindblad Dynamics [68.8204255655161]
  We study the probability distribution of the expectation value of a given observable over the possible quantum trajectories. The measurements are applied to the entire system, having the effect of projecting the system into a product state.
  arXiv  Detail & Related papers  (2023-05-06T18:09:17Z)
• 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)
• Evolution of many-body systems under ancilla quantum measurements [58.720142291102135]
  We study the concept of implementing quantum measurements by coupling a many-body lattice system to an ancillary degree of freedom. We find evidence of a disentangling-entangling measurement-induced transition as was previously observed in more abstract models.
  arXiv  Detail & Related papers  (2023-03-13T13:06:40Z)
• 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)
• Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization [58.720142291102135]
  We propose a method for studying the time evolution of many-body quantum lattice systems under continuous and site-resolved measurement. We observe a peculiar phenomenon of measurement-induced particle clusterization that takes place only for frequent moderately strong measurements, but not for strong infrequent measurements.
  arXiv  Detail & Related papers  (2021-04-21T10:36:57Z)
• State preparation and measurement in a quantum simulation of the O(3) sigma model [65.01359242860215]
  We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site. We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes. We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
  arXiv  Detail & Related papers  (2020-06-28T23:44:12Z)
• Single-copies estimation of entanglement negativity [1.7179583883220435]
  Entanglement plays a central role in quantum information processing. We propose a scheme to estimate the entanglement negativity of any bi- partition of a composite system.
  arXiv  Detail & Related papers  (2020-04-23T17:57:01Z)
• Some quantum measurements with three outcomes can reveal nonclassicality where all two-outcome measurements fail to do so [0.0]
  We show that there are instances, where the results of all two-outcome measurements can be explained in a classical manner. This points at the important role of the number of outcomes in revealing the nonclassicality hidden in a quantum system.
  arXiv  Detail & Related papers  (2020-01-10T15:30:11Z)

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.