Importance sampling of randomized measurements for probing entanglement
- URL: http://arxiv.org/abs/2102.13524v2
- Date: Mon, 15 Nov 2021 15:11:20 GMT
- Title: Importance sampling of randomized measurements for probing entanglement
- Authors: Aniket Rath, Rick van Bijnen, Andreas Elben, Peter Zoller and Beno\^it
Vermersch
- Abstract summary: We show that combining randomized measurement protocols with importance sampling allows for characterizing entanglement in significantly larger quantum systems.
A drastic reduction of statistical errors is obtained using machine-learning and tensor networks using partial information on the quantum state.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We show that combining randomized measurement protocols with importance
sampling allows for characterizing entanglement in significantly larger quantum
systems and in a more efficient way than in previous work. A drastic reduction
of statistical errors is obtained using classical techniques of
machine-learning and tensor networks using partial information on the quantum
state. In present experimental settings of engineered many-body quantum systems
this effectively doubles the (sub-)system sizes for which entanglement can be
measured. In particular, we show an exponential reduction of the required
number of measurements to estimate the purity of product states and GHZ states.
Related papers
- Effect of the readout efficiency of quantum measurement on the system entanglement [44.99833362998488]
We quantify the entanglement for a particle on a 1d quantum random walk under inefficient monitoring.
We find that the system's maximal mean entanglement at the measurement-induced quantum-to-classical crossover is in different ways by the measurement strength and inefficiency.
arXiv Detail & Related papers (2024-02-29T18:10:05Z) - Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain [46.99825956909532]
Local quantum measurements do not simply disentangle degrees of freedom, but may actually strengthen the entanglement in the system.
This paper explores how a finite density of local measurement modifies a given state's entanglement structure.
arXiv Detail & Related papers (2023-10-04T09:51:00Z) - 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) - Efficient measurement schemes for bosonic systems [1.4781921087738965]
Boson is one of the most basic particles and preserves the commutation relation.
We numerically test the schemes for measuring nuclei vibrations simulated using a discrete quantum computer.
arXiv Detail & Related papers (2022-10-24T20:14:23Z) - Anticipative measurements in hybrid quantum-classical computation [68.8204255655161]
We present an approach where the quantum computation is supplemented by a classical result.
Taking advantage of its anticipation also leads to a new type of quantum measurements, which we call anticipative.
In an anticipative quantum measurement the combination of the results from classical and quantum computations happens only in the end.
arXiv Detail & Related papers (2022-09-12T15:47:44Z) - Quantifying multiparticle entanglement with randomized measurements [0.0]
We exploit the potential of randomized measurements in order to probe the amount of entanglement contained in multiparticle quantum systems.
We present a detailed statistical analysis of the underlying measurement resources required for a confident estimation of the introduced quantifiers.
arXiv Detail & Related papers (2022-07-27T20:22:23Z) - Entanglement quantification from collective measurements processed by
machine learning [0.0]
Instead of analytical formulae, we employ artificial neural networks to predict the amount of entanglement in a quantum state.
For the purpose of our research, we consider general two-qubit states and their negativity as entanglement quantifier.
arXiv Detail & Related papers (2022-03-03T10:03:57Z) - Efficient criteria of quantumness for a large system of qubits [58.720142291102135]
We discuss the dimensionless combinations of basic parameters of large, partially quantum coherent systems.
Based on analytical and numerical calculations, we suggest one such number for a system of qubits undergoing adiabatic evolution.
arXiv Detail & Related papers (2021-08-30T23:50:05Z) - Preparing random states and benchmarking with many-body quantum chaos [48.044162981804526]
We show how to predict and experimentally observe the emergence of random state ensembles naturally under time-independent Hamiltonian dynamics.
The observed random ensembles emerge from projective measurements and are intimately linked to universal correlations built up between subsystems of a larger quantum system.
Our work has implications for understanding randomness in quantum dynamics, and enables applications of this concept in a wider context.
arXiv Detail & Related papers (2021-03-05T08:32:43Z) - Experimental Entanglement Quantification for Unknown Quantum States in a
Semi-Device-Independent Manner [5.3331673690188]
We show that quantum entanglement can be quantified for any unknown quantum states in a semi-device-independent manner.
We experimentally quantify the entanglement of formation and the entanglement of distillation for qutrit-qutrit quantum systems.
arXiv Detail & Related papers (2020-10-19T12:54:25Z)
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.