Transmission distance in the space of quantum channels

• URL: http://arxiv.org/abs/2304.08403v2
• Date: Mon, 24 Apr 2023 18:25:25 GMT
• Title: Transmission distance in the space of quantum channels
• Authors: Diego G. Bussandri, Pedro W. Lamberti and Karol \.Zyczkowski
• Abstract summary: We analyze distinguishability measures between quantum maps by employing the square root of the quantum Jensen-Shannon divergence. We study exemplary Hamiltonian dynamics under decoherence.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We analyze two ways to obtain distinguishability measures between quantum maps by employing the square root of the quantum Jensen-Shannon divergence, which forms a true distance in the space of density operators. The arising measures are the transmission distance between quantum channels and the entropic channel divergence. We investigate their mathematical properties and discuss their physical meaning. Additionally, we establish a chain rule for the entropic channel divergence, which implies the amortization collapse, a relevant result with potential applications in the field of discrimination of quantum channels and converse bounds. Finally, we analyze the distinguishability between two given Pauli channels and study exemplary Hamiltonian dynamics under decoherence.

Related papers

• Transmission of quantum information through quantum fields in curved spacetimes [0.0]
  We construct a quantum communication channel between two localized qubit systems mediated by a relativistic quantum field. We express the quantum capacity of the quantum communication channel purely in terms of the correlation functions of the field and the causal propagator for the wave equation.
  arXiv  Detail & Related papers  (2024-08-01T12:48:48Z)
• Random covariant quantum channels [2.9741863650371805]
  Group symmetries inherent in quantum channels often make them tractable. We introduce natural probability distributions for covariant quantum channels. We discuss the threshold phenomenon for positive partial transpose and entanglement breaking properties.
  arXiv  Detail & Related papers  (2024-03-06T12:39:30Z)
• Distinguishing dynamical quantum criticality through local fidelity distances [0.0]
  We study the dynamical quantum phase transition in integrable and non-integrable Ising chains. The non-analyticities in the quantum distance between two subsystem density matrices identify the critical time. We propose a distance measure from the upper bound of the local quantum fidelity for certain quench protocols.
  arXiv  Detail & Related papers  (2023-08-01T10:27:35Z)
• Normal quantum channels and Markovian correlated two-qubit quantum errors [77.34726150561087]
  We study general normally'' distributed random unitary transformations. On the one hand, a normal distribution induces a unital quantum channel. On the other hand, the diffusive random walk defines a unital quantum process.
  arXiv  Detail & Related papers  (2023-07-25T15:33:28Z)
• Quantifying measurement-induced quantum-to-classical crossover using an open-system entanglement measure [49.1574468325115]
  We study the entanglement of a single particle under continuous measurements. We find that the entanglement at intermediate time scales shows the same qualitative behavior as a function of the measurement strength.
  arXiv  Detail & Related papers  (2023-04-06T09:45:11Z)
• Resonant transmission of fermionic carriers: comparison between solid-state physics and quantum optics approaches [0.0]
  We revisit the phenomenon of the resonant transmission of fermionic carriers through a quantum device connected to two contacts with different chemical potentials. We show that, besides the traditional in solid-state physics Landauer-B"uttiker approach, this phenomenon can be also described by the non-Markovian master equation for the reduced density matrix of the fermions in the quantum device.
  arXiv  Detail & Related papers  (2021-06-03T13:42:56Z)
• Enhancing nonclassical bosonic correlations in a Quantum Walk network through experimental control of disorder [50.591267188664666]
  We experimentally realize a controllable inhomogenous Quantum Walk dynamics. We observe two photon states which exhibit an enhancement in the quantum correlations between two modes of the network.
  arXiv  Detail & Related papers  (2021-02-09T10:57:00Z)
• The Quantum Wasserstein Distance of Order 1 [16.029406401970167]
  We propose a generalization of the Wasserstein distance of order 1 to the quantum states of $n$ qudits. The proposed distance is invariant with respect to permutations of the qudits and unitary operations acting on one qudit. We also propose a generalization of the Lipschitz constant to quantum observables.
  arXiv  Detail & Related papers  (2020-09-09T18:00:01Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)
• Quantum Statistical Complexity Measure as a Signalling of Correlation Transitions [55.41644538483948]
  We introduce a quantum version for the statistical complexity measure, in the context of quantum information theory, and use it as a signalling function of quantum order-disorder transitions. We apply our measure to two exactly solvable Hamiltonian models, namely: the $1D$-Quantum Ising Model and the Heisenberg XXZ spin-$1/2$ chain. We also compute this measure for one-qubit and two-qubit reduced states for the considered models, and analyse its behaviour across its quantum phase transitions for finite system sizes as well as in the thermodynamic limit by using Bethe ansatz.
  arXiv  Detail & Related papers  (2020-02-05T00:45:21Z)
• Bulk detection of time-dependent topological transitions in quenched chiral models [48.7576911714538]
  We show that the winding number of the Hamiltonian eigenstates can be read-out by measuring the mean chiral displacement of a single-particle wavefunction. This implies that the mean chiral displacement can detect the winding number even when the underlying Hamiltonian is quenched between different topological phases.
  arXiv  Detail & Related papers  (2020-01-16T17:44:52Z)

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.