Systematic errors in direct state measurements with quantum controlled
measurements
- URL: http://arxiv.org/abs/2002.07328v1
- Date: Tue, 18 Feb 2020 01:40:30 GMT
- Title: Systematic errors in direct state measurements with quantum controlled
measurements
- Authors: Le Bin Ho
- Abstract summary: We use a quantum controlled measurement framework for measuring quantum states directly.
We numerically investigate the systematic errors, evaluate the confidence region, and investigate the effect of experimental noise.
Our analysis has important applications in direct quantum state tomography.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Von Neumann measurement framework describes a dynamic interaction between a
target system and a probe. In contrast, a quantum controlled measurement
framework uses a qubit probe to control the actions of different operators on
the target system, and convenient for establishing universal quantum
computation. In this work, we use a quantum controlled measurement framework
for measuring quantum states directly. We introduce two types of the quantum
controlled measurement framework and investigate the systematic error (the bias
between the true value and the estimated values) that caused by these types. We
numerically investigate the systematic errors, evaluate the confidence region,
and investigate the effect of experimental noise that arises from the imperfect
detection. Our analysis has important applications in direct quantum state
tomography.
Related papers
- Analytical evaluation of the effect of deterministic control error on
isolated quantum system [0.0]
We investigate the effect of analog control errors which deterministically occurs on isolated quantum dynamics.
We derive a lower bound of the overlap between two isolated quantum systems obeying time evolution.
arXiv Detail & Related papers (2024-03-10T07:23:37Z) - 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) - Quantum state engineering by steering in the presence of errors [1.2642388972233845]
We study a class of measurement-based state engineering protocols.
We show that the protocol remains fully robust against the erroneous choice of system-detector coupling parameters.
We also demonstrate the commutation between the classical expectation value and the time-ordering operator of the exponential of a Hamiltonian with multiplicative white noise.
arXiv Detail & Related papers (2023-03-28T22:07:52Z) - 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) - Quantum Back-action Limits in Dispersively Measured Bose-Einstein
Condensates [0.0]
We theoretically and experimentally characterize quantum back-action in atomic Bose-Einstein condensates interacting with a far-from resonant laser beam.
We experimentally quantify the resulting wavefunction change in terms of the contrast of a Ramsey interferometer.
This result is a necessary precursor for achieving true quantum back-action limited measurements of quantum gases.
arXiv Detail & Related papers (2022-09-09T17:04:36Z) - Instantaneous indirect measurement principle in quantum mechanics [8.626149751795754]
We propose a method to obtain the average value of one operator in a certain state by measuring the instantaneous change of the average value of another operator.
For the system to be measured, we find that such measurement neither significantly affects the wave function of the system nor causes wave function collapse of the system.
arXiv Detail & Related papers (2022-07-11T10:46:40Z) - Detecting and Eliminating Quantum Noise of Quantum Measurements [3.871198861387443]
We first detect and then eliminate quantum noise so that the classical noise assumption is satisfied.
We demonstrate the feasibility of the two-stage procedure numerically on Baidu Quantum Platform.
Remarkably, the results show that quantum noise in measurement devices is significantly suppressed, and the quantum accuracy is substantially improved.
arXiv Detail & Related papers (2022-06-28T03:58:10Z) - Measuring NISQ Gate-Based Qubit Stability Using a 1+1 Field Theory and
Cycle Benchmarking [50.8020641352841]
We study coherent errors on a quantum hardware platform using a transverse field Ising model Hamiltonian as a sample user application.
We identify inter-day and intra-day qubit calibration drift and the impacts of quantum circuit placement on groups of qubits in different physical locations on the processor.
This paper also discusses how these measurements can provide a better understanding of these types of errors and how they may improve efforts to validate the accuracy of quantum computations.
arXiv Detail & Related papers (2022-01-08T23:12:55Z) - Finite resolution ancilla-assisted measurements of quantum work
distributions [77.34726150561087]
We consider an ancilla-assisted protocol measuring the work done on a quantum system driven by a time-dependent Hamiltonian.
We consider system Hamiltonians which both commute and do not commute at different times, finding corrections to fluctuation relations like the Jarzynski equality and the Crooks relation.
arXiv Detail & Related papers (2021-11-30T15:08:25Z) - Characterizing quantum instruments: from non-demolition measurements to
quantum error correction [48.43720700248091]
In quantum information processing quantum operations are often processed alongside measurements which result in classical data.
Non-unitary dynamical processes can take place on the system, for which common quantum channel descriptions fail to describe the time evolution.
Quantum measurements are correctly treated by means of so-called quantum instruments capturing both classical outputs and post-measurement quantum states.
arXiv Detail & Related papers (2021-10-13T18:00:13Z)
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.