Accessible information of a general quantum Gaussian ensemble
- URL: http://arxiv.org/abs/2102.01981v3
- Date: Tue, 8 Mar 2022 08:34:07 GMT
- Title: Accessible information of a general quantum Gaussian ensemble
- Abstract summary: It is shown that the maximizing measurement is Gaussian, constituting a far-reaching generalization of the optical heterodyning.
This substantially extends the previous result concerning the gauge-invariant case, even for a single bosonic mode.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Accessible information, which is a basic quantity in quantum information
theory, is computed for a general quantum Gaussian ensemble under certain
"threshold condition". It is shown that the maximizing measurement is Gaussian,
constituting a far-reaching generalization of the optical heterodyning. This
substantially extends the previous result concerning the gauge-invariant case,
even for a single bosonic mode.
Related papers
- Quantum-Channel Matrix Optimization for Holevo Bound Enhancement [87.57725685513088]
We propose a unified projected gradient ascent algorithm to optimize the quantum channel given a fixed input ensemble.<n> Simulation results demonstrate that the proposed quantum channel optimization yields higher Holevo bounds than input ensemble optimization.
arXiv Detail & Related papers (2026-02-19T04:15:03Z) - Characterizing Fisher information of quantum measurement [0.0]
Informationally complete measurements form the foundation of universal quantum state reconstruction.<n>Quantum parameter estimation is based on the local structure of the manifold of quantum states.
arXiv Detail & Related papers (2025-12-17T13:22:31Z) - Tight Generalization Bound for Supervised Quantum Machine Learning [3.6641231031729173]
We derive a tight generalization bound for quantum machine learning that is applicable to a wide range of supervised tasks, data, and models.<n>Our bound is both efficiently computable and free of big-O notation.<n>We show that our tight generalization upper bound holds even when labels are completely randomized.
arXiv Detail & Related papers (2025-10-28T12:13:44Z) - Hidden quantum correlations in cavity-based quantum optics [0.0]
In multimode optical systems, the spectral covariance matrix encodes all the information about quantum correlations between the quadratures of Gaussian states.
Recent research has revealed that, in scenarios that are more common than previously thought, part of these correlations remain inaccessible to standard homodyne detection scheme.
arXiv Detail & Related papers (2024-10-21T20:08:18Z) - A general statistical approach to quantum algorithms in a circuit model based on the expectation and standard deviation of each gate separately [0.0]
We describe quantum algorithms as a quantum state with amplitudes constructed from the expected value and standard deviation of each quantum gate or a sub-sequence of gates in the algorithm.
We present a more fundamental identity that, unlike the previous one, allows us to switch the basis of the states into a desired form.
arXiv Detail & Related papers (2024-10-15T11:48:44Z) - Absolute dimensionality of quantum ensembles [41.94295877935867]
The dimension of a quantum state is traditionally seen as the number of superposed distinguishable states in a given basis.
We propose an absolute, i.e.basis-independent, notion of dimensionality for ensembles of quantum states.
arXiv Detail & Related papers (2024-09-03T09:54:15Z) - Universal quantum frequency comb measurements by spectral mode-matching [39.58317527488534]
We present the first general approach to make arbitrary, one-shot measurements of a multimode quantum optical source.
This approach uses spectral mode-matching, which can be understood as interferometry with a memory effect.
arXiv Detail & Related papers (2024-05-28T15:17:21Z) - 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) - 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) - Theory of Quantum Generative Learning Models with Maximum Mean
Discrepancy [67.02951777522547]
We study learnability of quantum circuit Born machines (QCBMs) and quantum generative adversarial networks (QGANs)
We first analyze the generalization ability of QCBMs and identify their superiorities when the quantum devices can directly access the target distribution.
Next, we prove how the generalization error bound of QGANs depends on the employed Ansatz, the number of qudits, and input states.
arXiv Detail & Related papers (2022-05-10T08:05:59Z) - Properties and Application of Gaussian Quantum Processes [0.0]
We show that generic coupler characterized by Gaussian unitary process can be transformed into a high-fidelity transducer.
We study the quantum noise theory for optical parameter sensing and its potential in providing great measurement precision enhancement.
All the analyses originated from the fundamental quantum commutation relations, and therefore are widely applicable.
arXiv Detail & Related papers (2021-07-03T18:01:34Z) - On the classical capacity of quantum Gaussian measurement [0.0]
We prove Gaussianity of the average state of the optimal ensemble in general.
We discuss the Hypothesis of Gaussian Maximizers concerning the structure of the ensemble.
arXiv Detail & Related papers (2021-01-02T11:11:22Z) - Quantum Amplitude Arithmetic [20.84884678978409]
We propose the notion of quantum amplitude arithmetic (QAA) that intent to evolve the quantum state by performing arithmetic operations on amplitude.
QAA is expected to find applications in a variety of quantum algorithms.
arXiv Detail & Related papers (2020-12-21T00:17:18Z) - Quantum information spreading in a disordered quantum walk [50.591267188664666]
We design a quantum probing protocol using Quantum Walks to investigate the Quantum Information spreading pattern.
We focus on the coherent static and dynamic disorder to investigate anomalous and classical transport.
Our results show that a Quantum Walk can be considered as a readout device of information about defects and perturbations occurring in complex networks.
arXiv Detail & Related papers (2020-10-20T20:03:19Z) - Quantum information aspects of approximate position measurement [0.0]
We perform a quantum information analysis for multi-mode Gaussian approximate position measurements.
The "Gaussian maximizer" property is established for the entropy reduction of these measurements.
arXiv Detail & Related papers (2020-06-08T07:02:56Z) - Programming a quantum computer with quantum instructions [39.994876450026865]
We use a density matrixiation protocol to execute quantum instructions on quantum data.
A fixed sequence of classically-defined gates performs an operation that uniquely depends on an auxiliary quantum instruction state.
The utilization of quantum instructions obviates the need for costly tomographic state reconstruction and recompilation.
arXiv Detail & Related papers (2020-01-23T22:43:29Z)
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.