Deterministic Equations for Feedback Control of Open Quantum Systems III: Full counting statistics for jump-based feedback

• URL: http://arxiv.org/abs/2512.11078v1
• Date: Thu, 11 Dec 2025 19:47:17 GMT
• Title: Deterministic Equations for Feedback Control of Open Quantum Systems III: Full counting statistics for jump-based feedback
• Authors: Alberto J. B. Rosal, Guilherme Fiusa, Patrick P. Potts, Gabriel T. Landi,
• Abstract summary: We consider a general feedback protocol based on quantum-jump detections, where the last detected jump channel is stored in a memory and subsequently used to implement a feedback action.<n>We show that the time evolution of this general protocol can be described by a Lindblad master equation defined in a hybrid classical-quantum space.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this work, we consider a general feedback protocol based on quantum-jump detections, where the last detected jump channel is stored in a memory and subsequently used to implement a feedback action, such as modifying the system Hamiltonian conditioned on the last jump. We show that the time evolution of this general protocol can be described by a Lindblad master equation defined in a hybrid classical-quantum space, where the classical part encodes the stored measurement record (memory) and the quantum part represents the monitored system. Moreover, we show that this new representation can be used to fully characterize the counting statistics of a system subject to a general jump-based feedback protocol. We apply the formalism to a three-level system coupled to two thermal baths operating as a thermal machine, and we show that jump-based feedback can be used to convert the information obtained from the jump detections into work. Our framework provides analytical tools that enable the characterization of key statistical properties of any counting observable under jump-based feedback, such as the average current, noise, correlation functions, and power spectrum.

Related papers

• Deterministic Equations for Feedback Control of Open Quantum Systems II: Properties of the memory function [0.0]
  We investigate the main properties of a general memory function subject to arbitrary feedback dynamics.<n>We show that the memory can be treated as a classical system coupled to a monitored quantum system.<n>We develop a general framework to characterize the statistics of the memory.
  arXiv  Detail & Related papers  (2025-12-08T22:30:33Z)
• Non-perturbative switching rates in bistable open quantum systems: from driven Kerr oscillators to dissipative cat qubits [72.41778531863143]
  We use path integral techniques to predict the switching rate in a single-mode bistable open quantum system.<n>Our results open new avenues for exploring switching phenomena in multistable single- and many-body open quantum systems.
  arXiv  Detail & Related papers  (2025-07-24T18:01:36Z)
• Extracting filtered signal statistics of continuously measured quantum systems [0.0]
  We present a numerically efficient approach to compute the steady state of the system and detector in the absence of feedback.<n>Building on this, we demonstrate how perturbative corrections allow one to efficiently determine the steady state solution for weak feedback driving.
  arXiv  Detail & Related papers  (2025-07-08T18:00:07Z)
• Deterministic Equations for Feedback Control of Open Quantum Systems [0.0]
  We derive a set of deterministic equations for describing feedback schemes based on generic causal signals.<n>We then specialize this result to the case of quantum jumps and derive a new deterministic equation that allows for feedback based on the channel of the last jump.
  arXiv  Detail & Related papers  (2025-07-02T17:46:11Z)
• Device-independent secure correlations in sequential quantum scenarios [44.99833362998488]
  Device-independent quantum information is attracting significant attention, particularly for its applications in information security.<n>We propose a systematic approach to designing sequential quantum protocols for device-independent security.<n>We analytically prove that, with this systematic construction, the resulting ideal correlations are secure in the sense that they cannot be reproduced as a statistical mixture of other correlations.
  arXiv  Detail & Related papers  (2025-03-18T16:45:20Z)
• Quantum information with quantum-like bits [0.0]
  We show how arbitrary gates can be implemented by manipulating many-body correlations.<n>This suggests the possibility of quantum-like information processing on a special class of many-body classical systems.
  arXiv  Detail & Related papers  (2024-08-12T20:40:54Z)
• Federated Quantum Long Short-term Memory (FedQLSTM) [58.50321380769256]
  Quantum federated learning (QFL) can facilitate collaborative learning across multiple clients using quantum machine learning (QML) models. No prior work has focused on developing a QFL framework that utilizes temporal data to approximate functions. A novel QFL framework that is the first to integrate quantum long short-term memory (QLSTM) models with temporal data is proposed.
  arXiv  Detail & Related papers  (2023-12-21T21:40:47Z)
• Third quantization of open quantum systems: new dissipative symmetries and connections to phase-space and Keldysh field theory formulations [77.34726150561087]
  We reformulate the technique of third quantization in a way that explicitly connects all three methods. We first show that our formulation reveals a fundamental dissipative symmetry present in all quadratic bosonic or fermionic Lindbladians. For bosons, we then show that the Wigner function and the characteristic function can be thought of as ''wavefunctions'' of the density matrix.
  arXiv  Detail & Related papers  (2023-02-27T18:56:40Z)
• Interactive Protocols for Classically-Verifiable Quantum Advantage [46.093185827838035]
  "Interactions" between a prover and a verifier can bridge the gap between verifiability and implementation. We demonstrate the first implementation of an interactive quantum advantage protocol, using an ion trap quantum computer.
  arXiv  Detail & Related papers  (2021-12-09T19:00:00Z)
• Quantum Fokker-Planck Master Equation for Continuous Feedback Control [0.0]
  Measurement and feedback control are essential features of quantum science, with applications ranging from quantum technology protocols to information-to-work conversion in quantum thermodynamics. Here we present a formalism for continuous quantum measurement and feedback, both linear and nonlinear. Our main result is a quantum Fokker-Planck master equation describing the joint dynamics of a quantum system and a detector with finite bandwidth. For fast measurements, we derive a Markovian master equation for the system alone, amenable to analytical treatment.
  arXiv  Detail & Related papers  (2021-10-18T10:25:23Z)
• Composably secure data processing for Gaussian-modulated continuous variable quantum key distribution [58.720142291102135]
  Continuous-variable quantum key distribution (QKD) employs the quadratures of a bosonic mode to establish a secret key between two remote parties. We consider a protocol with homodyne detection in the general setting of composable finite-size security. In particular, we analyze the high signal-to-noise regime which requires the use of high-rate (non-binary) low-density parity check codes.
  arXiv  Detail & Related papers  (2021-03-30T18:02:55Z)

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.