Experimental demonstration of Quantum Overlapping Tomography
- URL: http://arxiv.org/abs/2207.14488v2
- Date: Sat, 14 Jan 2023 01:29:24 GMT
- Title: Experimental demonstration of Quantum Overlapping Tomography
- Authors: Yang Zhengning, Shihao Ru, Lianzhen Cao, Nikolay Zheludev, and Weibo
Gao
- Abstract summary: We develop and apply a Bayesian state estimation method to experimentally demonstrate quantum overlapping tomography.
We show that overlapping tomography gives accurate information of the system with much fewer state measurements than full state tomography.
- Score: 0.6773011121407548
- License: http://creativecommons.org/licenses/by-nc-sa/4.0/
- Abstract: Quantum tomography is one of the major challenges of large-scale quantum
information research due to the exponential time complexity. In this work, we
develop and apply a Bayesian state estimation method to experimentally
demonstrate quantum overlapping tomography [Phys. Rev. Lett. \textbf{124},
100401 (2020)], a scheme intent on characterizing critical information of a
many-body quantum system in logarithmic time complexity. By comparing the
measurement results of full state tomography and overlapping tomography, we
show that overlapping tomography gives accurate information of the system with
much fewer state measurements than full state tomography.
Related papers
- Sample Optimal and Memory Efficient Quantum State Tomography [6.815730801645785]
We propose and analyse a quantum state tomography algorithm which retains sample-optimality but is also memory-efficient.
Our work is built on a form of unitary Schur sampling and only requires streaming access to the samples.
arXiv Detail & Related papers (2024-10-21T17:24:08Z) - Learning quantum states of continuous variable systems [4.05533173496439]
Quantum state tomography is aimed at deriving a classical description of an unknown state from measurement data.
We prove that tomography of continuous-variable systems is extremely inefficient in terms of time resources.
We also prove that tomography of Gaussian states is efficient.
arXiv Detail & Related papers (2024-05-02T16:19:55Z) - Lindblad-like quantum tomography for non-Markovian quantum dynamical maps [46.350147604946095]
We introduce Lindblad-like quantum tomography (L$ell$QT) as a quantum characterization technique of time-correlated noise in quantum information processors.
We discuss L$ell$QT for the dephasing dynamics of single qubits in detail, which allows for a neat understanding of the importance of including multiple snapshots of the quantum evolution in the likelihood function.
arXiv Detail & Related papers (2024-03-28T19:29:12Z) - Quantum state tomography with tensor train cross approximation [84.59270977313619]
We show that full quantum state tomography can be performed for such a state with a minimal number of measurement settings.
Our method requires exponentially fewer state copies than the best known tomography method for unstructured states and local measurements.
arXiv Detail & Related papers (2022-07-13T17:56:28Z) - Shadow process tomography of quantum channels [0.6554326244334866]
Quantum process tomography is a critical capability for building quantum computers, enabling quantum networks, and understanding quantum sensors.
The recent field of shadow tomography, applied to quantum states, has demonstrated the ability to extract key information about a state with onlyly many measurements.
We make use of Choi isomorphism to directly apply rigorous bounds from shadow state tomography to shadow process tomography, and we find additional bounds on the number of measurements that are unique to process tomography.
arXiv Detail & Related papers (2021-10-07T17:16:41Z) - Quantum verification and estimation with few copies [63.669642197519934]
The verification and estimation of large entangled systems represents one of the main challenges in the employment of such systems for reliable quantum information processing.
This review article presents novel techniques focusing on a fixed number of resources (sampling complexity) and thus prove suitable for systems of arbitrary dimension.
Specifically, a probabilistic framework requiring at best only a single copy for entanglement detection is reviewed, together with the concept of selective quantum state tomography.
arXiv Detail & Related papers (2021-09-08T18:20:07Z) - Quantum state tomography with informationally complete POVMs generated
in the time domain [0.0]
The article establishes a framework for dynamic generation of informationally complete POVMs in quantum state tomography.
The framework has been demonstrated on qubits and qutrits.
arXiv Detail & Related papers (2020-10-23T18:17:37Z) - Fast and robust quantum state tomography from few basis measurements [65.36803384844723]
We present an online tomography algorithm designed to optimize all the aforementioned resources at the cost of a worse dependence on accuracy.
The protocol is the first to give provably optimal performance in terms of rank and dimension for state copies, measurement settings and memory.
Further improvements are possible by executing the algorithm on a quantum computer, giving a quantum speedup for quantum state tomography.
arXiv Detail & Related papers (2020-09-17T11:28:41Z) - 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) - OAM tomography with Heisenberg-Weyl observables [58.720142291102135]
We apply a recent tomography protocol to simplify the measurement and characterisation of OAM states.
Our scheme for OAM tomography in $d$ dimensions requires only a set of measurements on a mode qubit, i.e., a 2-dimensional system.
This replaces the current complexity of OAM measurements by the ability to perform generalized Pauli operators $X_d, Z_d$ on OAM states.
arXiv Detail & Related papers (2020-03-19T10:36:46Z)
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.