Relation between nonclassical features through logical qudits
- URL: http://arxiv.org/abs/2306.12568v1
- Date: Wed, 21 Jun 2023 21:04:34 GMT
- Title: Relation between nonclassical features through logical qudits
- Authors: Sooryansh Asthana, V. Ravishankar
- Abstract summary: Quantum computation employs different types of logical qubits and qudits in terms of physical multiqubit and multiqudit systems.
We show that there is reciprocity in nonclassical correlations in physical multiqubit systems and coherence in a single logical qubit system.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Scalable modern-time fault-tolerant quantum computation and quantum
communication in a network employ a large number of physical qubits. For
example, IBM is reported to have made a 127-qubit quantum computer. Unlike
classical computation, quantum computation employs different types of logical
qubits and qudits in terms of physical multiqubit and multiqudit systems
respectively. Given this, of particular interest to us is to enquire on how
quantum coherence in logical qubits is a manifestation of underlying quantum
correlations in constituent physical multiqubit systems and vice-versa. In a
recent work [Asthana, Sooryansh. New J Phys 24.5 (2022): 053026], we have shown
that there is reciprocity in nonclassical correlations in physical multiqubit
systems and coherence in a single logical qubit system. Subsequently, we have
generalised the framework to higher dimensional quantum systems []. The crux of
this study is that a single nonclassicality condition derived for quantum
coherence in a logical system detects more than one type of nonclassicality in
Hilbert spaces of nonidentical dimensions.
Related papers
- A Quantum-Classical Collaborative Training Architecture Based on Quantum
State Fidelity [50.387179833629254]
We introduce a collaborative classical-quantum architecture called co-TenQu.
Co-TenQu enhances a classical deep neural network by up to 41.72% in a fair setting.
It outperforms other quantum-based methods by up to 1.9 times and achieves similar accuracy while utilizing 70.59% fewer qubits.
arXiv Detail & Related papers (2024-02-23T14:09:41Z) - Measures of imaginarity and quantum state order [3.0355172744128422]
We study several measures of imaginarity of quantum states in the framework of resource theory.
We also investigate the influence of the quantum channels on quantum state order for a single qubit.
arXiv Detail & Related papers (2022-10-26T03:29:43Z) - Entanglement and coherence in Bernstein-Vazirani algorithm [58.720142291102135]
Bernstein-Vazirani algorithm allows one to determine a bit string encoded into an oracle.
We analyze in detail the quantum resources in the Bernstein-Vazirani algorithm.
We show that in the absence of entanglement, the performance of the algorithm is directly related to the amount of quantum coherence in the initial state.
arXiv Detail & Related papers (2022-05-26T20:32:36Z) - A prototype of quantum von Neumann architecture [0.0]
We propose a model of universal quantum computer system, the quantum version of the von Neumann architecture.
It uses ebits as elements of the quantum memory unit, and qubits as elements of the quantum control unit and processing unit.
Our primary study demonstrates the manifold power of quantum information and paves the way for the creation of quantum computer systems.
arXiv Detail & Related papers (2021-12-17T06:33:31Z) - LQP: The Dynamic Logic of Quantum Information [77.34726150561087]
This paper introduces a dynamic logic formalism for reasoning about information flow in composite quantum systems.
We present a finitary syntax, a relational semantics and a sound proof system for this logic.
As applications, we use our system to give formal correctness for the Teleportation protocol and for a standard Quantum Secret Sharing protocol.
arXiv Detail & Related papers (2021-10-04T12:20:23Z) - A thorough introduction to non-relativistic matrix mechanics in
multi-qudit systems with a study on quantum entanglement and quantum
quantifiers [0.0]
This article provides a deep and abiding understanding of non-relativistic matrix mechanics.
We derive and analyze the respective 1-qubit, 1-qutrit, 2-qubit, and 2-qudit coherent and incoherent density operators.
We also address the fundamental concepts of quantum nondemolition measurements, quantum decoherence and, particularly, quantum entanglement.
arXiv Detail & Related papers (2021-09-14T05:06:47Z) - Experimental violations of Leggett-Garg's inequalities on a quantum
computer [77.34726150561087]
We experimentally observe the violations of Leggett-Garg-Bell's inequalities on single and multi-qubit systems.
Our analysis highlights the limits of nowadays quantum platforms, showing that the above-mentioned correlation functions deviate from theoretical prediction as the number of qubits and the depth of the circuit grow.
arXiv Detail & Related papers (2021-09-06T14:35:15Z) - Efficient criteria of quantumness for a large system of qubits [58.720142291102135]
We discuss the dimensionless combinations of basic parameters of large, partially quantum coherent systems.
Based on analytical and numerical calculations, we suggest one such number for a system of qubits undergoing adiabatic evolution.
arXiv Detail & Related papers (2021-08-30T23:50:05Z) - Relaxation to Equilibrium in a Quantum Network [0.0]
We study the relaxation to equilibrium for a fully connected quantum network with CNOT gates.
We give a number of results for the equilibration in these systems, including analytic estimates.
arXiv Detail & Related papers (2020-09-28T22:15:35Z) - Entanglement Classification via Neural Network Quantum States [58.720142291102135]
In this paper we combine machine-learning tools and the theory of quantum entanglement to perform entanglement classification for multipartite qubit systems in pure states.
We use a parameterisation of quantum systems using artificial neural networks in a restricted Boltzmann machine (RBM) architecture, known as Neural Network Quantum States (NNS)
arXiv Detail & Related papers (2019-12-31T07:40:23Z)
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.