Pure state tomography with parallel unentangled measurements
- URL: http://arxiv.org/abs/2208.04013v1
- Date: Mon, 8 Aug 2022 09:49:55 GMT
- Title: Pure state tomography with parallel unentangled measurements
- Authors: Fran\c{c}ois Verdeil, Yannick Deville
- Abstract summary: We focus on the QST of a pure quantum state using parallel unentangled measurements.
We propose two sets of quantum measurements that one can make on a pure state as well as the algorithms that use the measurements outcomes in order to identify the state.
- Score: 0.9746724603067647
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum state tomography (QST) aims at estimating a quantum state from
averaged quantum measurements made on copies of the state. Most quantum
algorithms rely on QST at some point and it is a well explored topic in the
literature, mostly for mixed states. In this paper we focus on the QST of a
pure quantum state using parallel unentangled measurements. Pure states are a
small but useful subset of all quantum states, their tomography requires fewer
measurements and is essentially a phase recovery problem. Parallel unentangled
measurements are easy to implement in practice because they allow the user to
measure each qubit individually. We propose two sets of quantum measurements
that one can make on a pure state as well as the algorithms that use the
measurements outcomes in order to identify the state. We also discuss how those
estimates can be fined tuned by finding the state that maximizes the likelihood
of the measurements with different variants of the likelihood. The performances
of the proposed three types of QST methods are validated by means of detailed
numerical tests.
Related papers
- Optimal quantum state tomography with local informationally complete measurements [25.33379738135298]
We study whether a general MPS/MPDO state can be recovered with bounded errors using only a number of state copies in the number of qubits.
We provide a positive answer for a variety of common many-body quantum states, including typical short-range entangled states, random MPS/MPDO states, and thermal states of one-dimensional Hamiltonians.
arXiv Detail & Related papers (2024-08-13T17:58:02Z) - Almost device-independent certification of GME states with minimal
measurements [41.94295877935867]
Device-independent certification of quantum states allows the characterization of quantum states present inside a device.
A major problem in this regard is to certify quantum states using minimal resources.
We consider the multipartite quantum steering scenario with an arbitrary number of parties but only one of which is trusted in the sense that the measurements performed by the trusted party are known.
arXiv Detail & Related papers (2024-02-28T17:54:55Z) - A Tailor-made Quantum State Tomography Approach [0.0]
Quantum state tomography aims at reconstructing the state of a quantum system.
In conventional QST the number of measurements scales exponentially with the number of qubits.
We propose a protocol in which the introduction of a threshold allows one to drastically reduce the number of measurements required.
arXiv Detail & Related papers (2024-01-23T15:56:12Z) - Measurement-Device-Independent Detection of Beyond-Quantum State [53.64687146666141]
We propose a measurement-device-independent (MDI) test for beyond-quantum state detection.
We discuss the importance of tomographic completeness of the input sets to the detection.
arXiv Detail & Related papers (2023-12-11T06:40:13Z) - A universal scheme to self-test any quantum state and extremal measurement [41.94295877935867]
quantum network considered in this work is the simple star network, which is implementable using current technologies.
For our purposes, we also construct a scheme that can be used to self-test the two-dimensional tomographically complete set of measurements with an arbitrary number of parties.
arXiv Detail & Related papers (2023-12-07T16:20:28Z) - Quantum State Tomography for Matrix Product Density Operators [28.799576051288888]
Reconstruction of quantum states from experimental measurements is crucial for the verification and benchmarking of quantum devices.
Many physical quantum states, such as states generated by noisy, intermediate-scale quantum computers, are usually structured.
We establish theoretical guarantees for the stable recovery of MPOs using tools from compressive sensing and the theory of empirical processes.
arXiv Detail & Related papers (2023-06-15T18:23:55Z) - Discriminating mixed qubit states with collective measurements [0.2621730497733947]
We propose and experimentally demonstrate a protocol for distinguishing two copies of single qubit states using collective measurements.
We implement our measurements on an IBM Q System One device, a superconducting quantum processor.
arXiv Detail & Related papers (2023-02-17T14:02:26Z) - Experimental demonstration of optimal unambiguous two-out-of-four
quantum state elimination [52.77024349608834]
A core principle of quantum theory is that non-orthogonal quantum states cannot be perfectly distinguished with single-shot measurements.
Here we implement a quantum state elimination measurement which unambiguously rules out two of four pure, non-orthogonal quantum states.
arXiv Detail & Related papers (2022-06-30T18:00:01Z) - Bose-Einstein condensate soliton qubit states for metrological
applications [58.720142291102135]
We propose novel quantum metrology applications with two soliton qubit states.
Phase space analysis, in terms of population imbalance - phase difference variables, is also performed to demonstrate macroscopic quantum self-trapping regimes.
arXiv Detail & Related papers (2020-11-26T09:05:06Z) - Neural network quantum state tomography in a two-qubit experiment [52.77024349608834]
Machine learning inspired variational methods provide a promising route towards scalable state characterization for quantum simulators.
We benchmark and compare several such approaches by applying them to measured data from an experiment producing two-qubit entangled states.
We find that in the presence of experimental imperfections and noise, confining the variational manifold to physical states greatly improves the quality of the reconstructed states.
arXiv Detail & Related papers (2020-07-31T17:25:12Z) - Quantum State Interferography [0.0]
In this letter, we present an interferometric method, in which, any qubit state, whether mixed or pure, can be inferred from the visibility, phase shift and average intensity of an interference pattern using a single shot measurement.
We experimentally implement our method with high fidelity using the polarisation degree of freedom of light.
arXiv Detail & Related papers (2020-02-18T09:32:47Z)
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.