An agnostic-Dolinar receiver for coherent states classification
- URL: http://arxiv.org/abs/2106.11909v1
- Date: Tue, 22 Jun 2021 16:35:42 GMT
- Title: An agnostic-Dolinar receiver for coherent states classification
- Authors: Fabio Zoratti, Nicola Dalla Pozza, Marco Fanizza, Vittorio Giovannetti
- Abstract summary: We consider the problem of discriminating quantum states, where the task is to distinguish two different quantum states with a complete classical knowledge about them.
In the case the quantum states are represented by coherent states of light, we identify intermediate scenarios where partial prior information is available.
- Score: 2.6763498831034034
- License: http://creativecommons.org/licenses/by-sa/4.0/
- Abstract: We consider the problem of discriminating quantum states, where the task is
to distinguish two different quantum states with a complete classical knowledge
about them, and the problem of classifying quantum states, where the task is to
distinguish two classes of quantum states where no prior classical information
is available but a finite number of physical copies of each classes are given.
In the case the quantum states are represented by coherent states of light, we
identify intermediate scenarios where partial prior information is available.
We evaluate an analytical expression for the minimum error when the quantum
states are opposite and a prior on the amplitudes is known. Such a threshold is
attained by complex POVM that involve highly non-linear optical procedure. A
suboptimal procedure that can be implemented with current technology is
presented that is based on a modification of the conventional Dolinar receiver.
We study and compare the performance of the scheme under different assumptions
on the prior information available.
Related papers
- Data Processing Inequality for The Quantum Guesswork [4.956709222278243]
Non-orthogonal quantum states cannot be distinguished with absolute certainty.
Quantum guesswork has emerged as a crucial measure in assessing the distinguishability of non-orthogonal quantum states.
arXiv Detail & Related papers (2024-07-22T19:42:16Z) - 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) - Benchmarking machine learning models for quantum state classification [0.0]
We develop a model to classify the measured state by discriminating the ground state from the excited state.
We benchmark multiple classification techniques applied to real quantum devices.
arXiv Detail & Related papers (2023-09-14T12:45:20Z) - Variational Approach to Quantum State Tomography based on Maximal
Entropy Formalism [3.6344381605841187]
We employ the maximal entropy formalism to construct the least biased mixed quantum state that is consistent with the given set of expectation values.
We employ a parameterized quantum circuit and a hybrid quantum-classical variational algorithm to obtain such a target state making our recipe easily implementable on a near-term quantum device.
arXiv Detail & Related papers (2022-06-06T01:16:22Z) - Quantum state inference from coarse-grained descriptions: analysis and
an application to quantum thermodynamics [101.18253437732933]
We compare the Maximum Entropy Principle method, with the recently proposed Average Assignment Map method.
Despite the fact that the assigned descriptions respect the measured constraints, the descriptions differ in scenarios that go beyond the traditional system-environment structure.
arXiv Detail & Related papers (2022-05-16T19:42:24Z) - Improved Quantum Algorithms for Fidelity Estimation [77.34726150561087]
We develop new and efficient quantum algorithms for fidelity estimation with provable performance guarantees.
Our algorithms use advanced quantum linear algebra techniques, such as the quantum singular value transformation.
We prove that fidelity estimation to any non-trivial constant additive accuracy is hard in general.
arXiv Detail & Related papers (2022-03-30T02:02:16Z) - Efficient Bipartite Entanglement Detection Scheme with a Quantum
Adversarial Solver [89.80359585967642]
Proposal reformulates the bipartite entanglement detection as a two-player zero-sum game completed by parameterized quantum circuits.
We experimentally implement our protocol on a linear optical network and exhibit its effectiveness to accomplish the bipartite entanglement detection for 5-qubit quantum pure states and 2-qubit quantum mixed states.
arXiv Detail & Related papers (2022-03-15T09:46:45Z) - Learning entanglement breakdown as a phase transition by confusion [0.0]
We develop an approach for revealing entanglement breakdown using a machine learning technique, which is known as 'learning by confusion'
We show that the developed method provides correct answers for a variety of states, including entangled states with positive partial transpose (PPT)
We also present a more practical version of the method, which is suitable for studying entanglement breakdown in noisy intermediate-scale quantum (NISQ) devices.
arXiv Detail & Related papers (2022-02-01T11:41:18Z) - Algorithm and Circuit of Nesting Doubled Qubits [3.6296396308298795]
Copying quantum states is contradictory to classical information processing.
This paper investigates the naturally arising question of how well or under what conditions one can copy and measure an arbitrary quantum superposition of states.
arXiv Detail & Related papers (2022-01-01T23:14:44Z) - Quantum Discrimination of Two Noisy Displaced Number States [68.2727599930504]
We first consider the quantum discrimination of two noiseless displaced number states.
We then address the problem of discriminating between two noisy displaced number states.
arXiv Detail & Related papers (2020-12-09T16:56:16Z) - 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)
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.