Quantum capacity analysis of multi-level amplitude damping channels
- URL: http://arxiv.org/abs/2008.00477v3
- Date: Wed, 10 Feb 2021 17:17:04 GMT
- Title: Quantum capacity analysis of multi-level amplitude damping channels
- Authors: Stefano Chessa, Vittorio Giovannetti
- Abstract summary: The set of Multi-level Amplitude Damping (MAD) quantum channels is introduced as a generalization of the standard qubit Amplitude Damping Channel to quantum systems of finite dimension $d$.
We compute the associated quantum and private classical capacities for a rather wide class of maps, extending the set of solvable models known so far.
- Score: 4.2231191686871234
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The set of Multi-level Amplitude Damping (MAD) quantum channels is introduced
as a generalization of the standard qubit Amplitude Damping Channel to quantum
systems of finite dimension $d$. In the special case of $d=3$, by exploiting
degradability, data-processing inequalities, and channel isomorphism, we
compute the associated quantum and private classical capacities for a rather
wide class of maps, extending the set of solvable models known so far. We
proceed then to the evaluation of the entanglement assisted, quantum and
classical, capacities.
Related papers
- Bias-field digitized counterdiabatic quantum optimization [39.58317527488534]
We call this protocol bias-field digitizeddiabatic quantum optimization (BF-DCQO)
Our purely quantum approach eliminates the dependency on classical variational quantum algorithms.
It achieves scaling improvements in ground state success probabilities, increasing by up to two orders of magnitude.
arXiv Detail & Related papers (2024-05-22T18:11:42Z) - Characterizing randomness in parameterized quantum circuits through expressibility and average entanglement [39.58317527488534]
Quantum Circuits (PQCs) are still not fully understood outside the scope of their principal application.
We analyse the generation of random states in PQCs under restrictions on the qubits connectivities.
We place a connection between how steep is the increase on the uniformity of the distribution of the generated states and the generation of entanglement.
arXiv Detail & Related papers (2024-05-03T17:32:55Z) - Classical Capacity of Arbitrarily Distributed Noisy Quantum Channels [11.30845610345922]
We study the impact of a mixture of classical and quantum noise on an arbitrary quantum channel carrying classical information.
We formulate the achievable channel capacity over an arbitrary distributed quantum channel in presence of the mixed noise.
arXiv Detail & Related papers (2023-06-28T11:14:12Z) - Information capacity analysis of fully correlated multi-level amplitude
damping channels [0.9790236766474201]
We investigate some of the information capacities of the simplest member of multi-level Amplitude Damping Channel, a qutrit channel.
We find the upper bounds of the single-shot classical capacities and calculate the quantum capacities associated with a specific class of maps.
arXiv Detail & Related papers (2023-05-08T06:10:56Z) - The Quantum Path Kernel: a Generalized Quantum Neural Tangent Kernel for
Deep Quantum Machine Learning [52.77024349608834]
Building a quantum analog of classical deep neural networks represents a fundamental challenge in quantum computing.
Key issue is how to address the inherent non-linearity of classical deep learning.
We introduce the Quantum Path Kernel, a formulation of quantum machine learning capable of replicating those aspects of deep machine learning.
arXiv Detail & Related papers (2022-12-22T16:06:24Z) - Quantum algorithms for grid-based variational time evolution [36.136619420474766]
We propose a variational quantum algorithm for performing quantum dynamics in first quantization.
Our simulations exhibit the previously observed numerical instabilities of variational time propagation approaches.
arXiv Detail & Related papers (2022-03-04T19:00:45Z) - A hierarchy of efficient bounds on quantum capacities exploiting
symmetry [8.717253904965371]
We exploit the recently introduced $D#$ in order to obtain a hierarchy of semidefinite programming bounds on various regularized quantities.
As applications, we give a general procedure to give efficient bounds on the regularized Umegaki channel divergence.
We prove that for fixed input and output dimensions, the regularized sandwiched R'enyi divergence between any two quantum channels can be approximated up to an $epsilon$ accuracy in time.
arXiv Detail & Related papers (2022-03-04T04:34:15Z) - 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) - Generating random quantum channels [1.0499611180329802]
Several techniques of generating random quantum channels, which act on the set of $d$-dimensional quantum states, are investigated.
We present three approaches to the problem of sampling of quantum channels and show under which conditions they become mathematically equivalent.
Additional results focus on the spectral gap and other spectral properties of random quantum channels and their invariant states.
arXiv Detail & Related papers (2020-11-05T17:35:30Z) - The role of boundary conditions in quantum computations of scattering
observables [58.720142291102135]
Quantum computing may offer the opportunity to simulate strongly-interacting field theories, such as quantum chromodynamics, with physical time evolution.
As with present-day calculations, quantum computation strategies still require the restriction to a finite system size.
We quantify the volume effects for various $1+1$D Minkowski-signature quantities and show that these can be a significant source of systematic uncertainty.
arXiv Detail & Related papers (2020-07-01T17:43:11Z) - Bounding the Classical Capacity of Multilevel Damping Quantum Channels [0.0]
A recent method to certify the capacity of quantum communication channels is applied for general damping channels in finite dimension.
The results for large representative classes of different damping structures are presented.
arXiv Detail & Related papers (2020-01-17T11:47:12Z)
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.