Private Capacity of Quantum Channels Induced by Non-stabilizer Environmental States

• URL: http://arxiv.org/abs/2607.11793v1
• Date: Mon, 13 Jul 2026 16:45:42 GMT
• Title: Private Capacity of Quantum Channels Induced by Non-stabilizer Environmental States
• Abstract summary: We investigate the private capacity of quantum channels using the recently proposed quantum convolution theory for discrete-variable quantum systems.<n>For a large class of convolutional channels, we find that the private capacity is zero if the fixed environmental state is a stabilizer state.<n>We show that the private capacity can be nonzero for some magic environmental states.
• Score: 5.912141277725297
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the private capacity of quantum channels using the recently proposed quantum convolution theory for discrete-variable quantum systems. We focus on the role of the magic resource played in this framework. Firstly, for a large class of convolutional channels, we find that the private capacity is zero if the fixed environmental state is a stabilizer state. Moreover, we show that the private capacity can be nonzero for some magic environmental states. Furthermore, we show that the private capacity of a discrete beam splitter unitary is upper-bounded by the amount of magic of the environmental state. In addition, if the environmental state exhibits a certain symmetric structure, even if it is magic, the corresponding private capacity will also vanish for a class of convolution. These results emphasize the role of magic resources in quantum communication

Related papers

• Real-Space Renormalization of Stabilizer Rényi Entropies in Spin Chains [0.0]
  We study the non-stabilizerness of quantum states arising in a class of spin Hamiltonians by computing their stabilizer Rényi entropies.<n>We analyze how quantum magic evolves under coarse-graining and explore its behavior across different parameter regimes and quantum phases.
  arXiv  Detail & Related papers  (2026-09-15T13:45:29Z)
• Quantum state determinability from local marginals is universally robust [22.159831673341287]
  We show that deviations of local marginals propagate to global states strictly bounded by a power law with exponent $in(0,1]$.<n>We apply our theory to construct a scalable two-local genuine multipartite entanglement witness.
  arXiv  Detail & Related papers  (2026-04-07T07:02:22Z)
• Quantum capacity amplification via privacy [3.126118485851773]
  We investigate superadditivity of quantum capacity through private channels whose Choi-Jamiolkowski operators are private states.<n>This perspective links the security structure of private states to quantum capacity and clarifies the role of the shield system.
  arXiv  Detail & Related papers  (2025-10-06T06:35:19Z)
• Magic States in the Asymmetric Quantum Rabi Model [0.0]
  Magic or non-stabilizerness is a resource for quantum computing that has been extensively studied in qudit networks.<n>We study magic in a bipartite system, the Asymmetric Quantum Rabi model, a paradigmatic model from quantum optics.
  arXiv  Detail & Related papers  (2025-08-01T16:41:06Z)
• A New Framework for Quantum Phases in Open Systems: Steady State of Imaginary-Time Lindbladian Evolution [21.39913099096503]
  We introduce the concept of imaginary-time Lindbladian evolution as an alternative framework.<n>This new approach defines gapped quantum phases in open systems through the spectrum properties of the imaginary-Liouville superoperator.<n>Our findings demonstrate universal properties at quantum criticality, such as nonanalytic behaviors of steady-state observables, divergence of correlation lengths, and closing of the imaginary-Liouville gap.
  arXiv  Detail & Related papers  (2024-08-06T14:53:40Z)
• Second Law of Entanglement Manipulation with Entanglement Battery [41.94295877935867]
  A central question since the beginning of quantum information science is how two distant parties can convert one entangled state into another.<n>It has been conjectured that such conversions could be executed reversibly in an regime, mirroring the reversible nature of Carnot cycles in classical thermodynamics.<n>We show that arbitrary mixed state entanglement transformations can be made under local operations and classical reversible communication.
  arXiv  Detail & Related papers  (2024-05-17T07:55:04Z)
• Magic Resource Can Enhance the Quantum Capacity of Channels [0.0]
  We consider the quantum channel of the recently proposed discrete beam splitter with the fixed environmental state.<n>We find that if the fixed environmental state is a stabilizer state, then the quantum capacity is zero.<n>We find that the quantum capacity is nonzero for some magic states, and the quantum capacity increases linearly with respect to the number of single-qudit magic states in the environment.
  arXiv  Detail & Related papers  (2024-01-22T16:40:01Z)
• Entanglement-magic separation in hybrid quantum circuits [0.0]
  We study magic, quantified by stabilizer entropy, in a hybrid quantum circuit with projective measurements. We discover a phase transition between a (sub)-extensive and area law scaling of magic controlled by the rate of measurements.
  arXiv  Detail & Related papers  (2023-12-04T16:57:33Z)
• Entanglement and localization in long-range quadratic Lindbladians [49.1574468325115]
  Signatures of localization have been observed in condensed matter and cold atomic systems. We propose a model of one-dimensional chain of non-interacting, spinless fermions coupled to a local ensemble of baths. We show that the steady state of the system undergoes a localization entanglement phase transition by tuning $p$ which remains stable in the presence of coherent hopping.
  arXiv  Detail & Related papers  (2023-03-13T12:45:25Z)
• The power of noisy quantum states and the advantage of resource dilution [62.997667081978825]
  Entanglement distillation allows to convert noisy quantum states into singlets. We show that entanglement dilution can increase the resilience of shared quantum states to local noise.
  arXiv  Detail & Related papers  (2022-10-25T17:39:29Z)
• Quantum Instability [30.674987397533997]
  We show how a time-independent, finite-dimensional quantum system can give rise to a linear instability corresponding to that in the classical system. An unstable quantum system has a richer spectrum and a much longer recurrence time than a stable quantum system.
  arXiv  Detail & Related papers  (2022-08-05T19:53:46Z)

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.