Exact quantum sensing limits for bosonic dephasing channels
- URL: http://arxiv.org/abs/2402.05793v1
- Date: Thu, 8 Feb 2024 16:35:32 GMT
- Title: Exact quantum sensing limits for bosonic dephasing channels
- Authors: Zixin Huang, Ludovico Lami, and Mark M. Wilde
- Abstract summary: Dephasing is a prominent noise mechanism that afflicts quantum information carriers.
We consider discrimination and estimation of bosonic dephasing channels.
- Score: 8.124633573706763
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Dephasing is a prominent noise mechanism that afflicts quantum information
carriers, and it is one of the main challenges towards realizing useful quantum
computation, communication, and sensing. Here we consider discrimination and
estimation of bosonic dephasing channels, when using the most general adaptive
strategies allowed by quantum mechanics. We reduce these difficult quantum
problems to simple classical ones based on the probability densities defining
the bosonic dephasing channels. By doing so, we rigorously establish the
optimal performance of various distinguishability and estimation tasks and
construct explicit strategies to achieve this performance. To the best of our
knowledge, this is the first example of a non-Gaussian bosonic channel for
which there are exact solutions for these tasks.
Related papers
- Power Characterization of Noisy Quantum Kernels [52.47151453259434]
We show that noise may make quantum kernel methods to only have poor prediction capability, even when the generalization error is small.
We provide a crucial warning to employ noisy quantum kernel methods for quantum computation.
arXiv Detail & Related papers (2024-01-31T01:02:16Z) - Quantum State Reconstruction in a Noisy Environment via Deep Learning [0.9012198585960443]
We consider the tasks of reconstructing and classifying quantum states corrupted by an unknown noisy channel.
We show how such an approach can be used to recover with fidelities exceeding 99%.
We also consider the task of distinguishing between different quantum noisy channels, and show how a neural network-based classifier is able to solve such a classification problem with perfect accuracy.
arXiv Detail & Related papers (2023-09-21T10:03:30Z) - Retrieving non-linear features from noisy quantum states [11.289924445850328]
In this paper, we analyze the feasibility and efficiency of extracting high-order moments from noisy states.
We first show that there exists a quantum protocol capable of accomplishing this task if and only if the underlying noise channel is invertible.
Our work contributes to a deeper understanding of how quantum noise could affect high-order information extraction and provides guidance on how to tackle it.
arXiv Detail & Related papers (2023-09-20T15:28:18Z) - Near-Term Distributed Quantum Computation using Mean-Field Corrections
and Auxiliary Qubits [77.04894470683776]
We propose near-term distributed quantum computing that involve limited information transfer and conservative entanglement production.
We build upon these concepts to produce an approximate circuit-cutting technique for the fragmented pre-training of variational quantum algorithms.
arXiv Detail & Related papers (2023-09-11T18:00:00Z) - Noise effects on purity and quantum entanglement in terms of physical
implementability [27.426057220671336]
Quantum decoherence due to imperfect manipulation of quantum devices is a key issue in the noisy intermediate-scale quantum (NISQ) era.
Standard analyses in quantum information and quantum computation use error rates to parameterize quantum noise channels.
We propose to characterize the decoherence effect of a noise channel by the physical implementability of its inverse.
arXiv Detail & Related papers (2022-07-04T13:35:17Z) - Exact solution for the quantum and private capacities of bosonic
dephasing channels [10.787390511207686]
We provide the first exact calculation of the quantum, private, two-way assisted quantum, and secret-key capacities of bosonic dephasing channels.
arXiv Detail & Related papers (2022-05-11T19:12:12Z) - Quantum circuit debugging and sensitivity analysis via local inversions [62.997667081978825]
We present a technique that pinpoints the sections of a quantum circuit that affect the circuit output the most.
We demonstrate the practicality and efficacy of the proposed technique by applying it to example algorithmic circuits implemented on IBM quantum machines.
arXiv Detail & Related papers (2022-04-12T19:39:31Z) - Quantum algorithms for quantum dynamics: A performance study on the
spin-boson model [68.8204255655161]
Quantum algorithms for quantum dynamics simulations are traditionally based on implementing a Trotter-approximation of the time-evolution operator.
variational quantum algorithms have become an indispensable alternative, enabling small-scale simulations on present-day hardware.
We show that, despite providing a clear reduction of quantum gate cost, the variational method in its current implementation is unlikely to lead to a quantum advantage.
arXiv Detail & Related papers (2021-08-09T18:00:05Z) - Direct Quantum Communications in the Presence of Realistic Noisy
Entanglement [69.25543534545538]
We propose a novel quantum communication scheme relying on realistic noisy pre-shared entanglement.
Our performance analysis shows that the proposed scheme offers competitive QBER, yield, and goodput.
arXiv Detail & Related papers (2020-12-22T13:06:12Z) - Ultimate limits for multiple quantum channel discrimination [0.966840768820136]
This paper studies the problem of hypothesis testing with quantum channels.
We establish a lower limit for the ultimate error probability affecting the discrimination of an arbitrary number of quantum channels.
We also show that this lower bound is achievable when the channels have certain symmetries.
arXiv Detail & Related papers (2020-07-29T03:08:48Z) - Quantum noise protects quantum classifiers against adversaries [120.08771960032033]
Noise in quantum information processing is often viewed as a disruptive and difficult-to-avoid feature, especially in near-term quantum technologies.
We show that by taking advantage of depolarisation noise in quantum circuits for classification, a robustness bound against adversaries can be derived.
This is the first quantum protocol that can be used against the most general adversaries.
arXiv Detail & Related papers (2020-03-20T17:56:14Z)
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.