Detecting positive quantum capacities of quantum channels
- URL: http://arxiv.org/abs/2105.06327v1
- Date: Thu, 13 May 2021 14:26:45 GMT
- Title: Detecting positive quantum capacities of quantum channels
- Authors: Satvik Singh and Nilanjana Datta
- Abstract summary: We devise a strategy to detect positive quantum capacities of quantum channels and their complements.
Examples include the depolarizing and transpose-depolarizing channels, dephasing channels, generalized Pauli channels, multi-level amplitude damping channels, and (conjugate) diagonal unitary covariant channels.
- Score: 7.741539072749043
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Using elementary techniques from analytic perturbation theory of Hermitian
matrices, we devise a simple strategy to detect positive quantum capacities of
quantum channels and their complements. Several noteworthy examples, such as
the depolarizing and transpose-depolarizing channels (including the
Werner-Holevo channel), dephasing channels, generalized Pauli channels,
multi-level amplitude damping channels, and (conjugate) diagonal unitary
covariant channels, serve to aptly exhibit the utility of our method. Our main
result leads to simplified proofs of certain existing structure theorems for
the class of degradable quantum channels, and an extension of their
applicability to the larger class of more capable quantum channels.
Related papers
- Weyl channels for multipartite systems [42.37986459997699]
Quantum channels describe unitary and non-unitary evolution of quantum systems.
We show that these channels are completely characterized by elements drawn of finite cyclic groups.
arXiv Detail & Related papers (2023-10-17T02:45:47Z) - 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) - Coexistent quantum channel characterization using spectrally resolved
Bayesian quantum process tomography [0.0]
Coexistence of quantum and classical signals over same optical fiber is critical for operating quantum networks.
We systematically characterize the quantum channel that results from simultaneously distributing approximate single-photon polarization-encoded qubits.
arXiv Detail & Related papers (2022-08-30T19:57:45Z) - Pauli component erasing quantum channels [58.720142291102135]
We propose a family of quantum maps that preserve or completely erase the components of a multi-qubit system.
For the corresponding channels, it is shown that the preserved components can be interpreted as a finite vector subspace.
We show that the obtained family of channels forms a semigroup and derive its generators.
arXiv Detail & Related papers (2022-05-12T00:11:43Z) - 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) - Circuit Symmetry Verification Mitigates Quantum-Domain Impairments [69.33243249411113]
We propose circuit-oriented symmetry verification that are capable of verifying the commutativity of quantum circuits without the knowledge of the quantum state.
In particular, we propose the Fourier-temporal stabilizer (STS) technique, which generalizes the conventional quantum-domain formalism to circuit-oriented stabilizers.
arXiv Detail & Related papers (2021-12-27T21:15:35Z) - Maximum Relative Entropy of Coherence for Quantum Channels [0.6685158490869523]
We introduce a new coherence quantifier for quantum channels via maximum relative entropy.
We show that the maximum relative entropy for coherence of quantum channels is directly related to the maximally coherent channels under a particular class of superoperations.
arXiv Detail & Related papers (2021-06-30T15:03:01Z) - The Hintons in your Neural Network: a Quantum Field Theory View of Deep
Learning [84.33745072274942]
We show how to represent linear and non-linear layers as unitary quantum gates, and interpret the fundamental excitations of the quantum model as particles.
On top of opening a new perspective and techniques for studying neural networks, the quantum formulation is well suited for optical quantum computing.
arXiv Detail & Related papers (2021-03-08T17:24:29Z) - Coherent control and distinguishability of quantum channels via
PBS-diagrams [59.94347858883343]
We introduce a graphical language for coherent control of general quantum channels inspired by practical quantum optical setups involving polarising beam splitters (PBS)
We characterise the observational equivalence of purified channels in various coherent-control contexts, paving the way towards a faithful representation of quantum channels under coherent control.
arXiv Detail & Related papers (2021-03-02T22:56:25Z) - Using Quantum Metrological Bounds in Quantum Error Correction: A Simple
Proof of the Approximate Eastin-Knill Theorem [77.34726150561087]
We present a proof of the approximate Eastin-Knill theorem, which connects the quality of a quantum error-correcting code with its ability to achieve a universal set of logical gates.
Our derivation employs powerful bounds on the quantum Fisher information in generic quantum metrological protocols.
arXiv Detail & Related papers (2020-04-24T17:58:10Z)
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.