Single photon quantum filtering using non-Markovian embeddings

DOI10.1098/rsta.2011.0524zbMath1353.81070OpenAlexW2128128580WikidataQ51307322 ScholiaQ51307322MaRDI QIDQ2955449

Hendra I. Nurdin, John E. Gough, Matthew R. James

Publication date: 13 January 2017

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.2011.0524

Mathematics Subject Classification ID

Filtering in stochastic control theory (93E11) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Open systems, reduced dynamics, master equations, decoherence (81S22) Quantum control (81Q93)

Related Items (9)

Quantum trajectories for a system interacting with environment inN-photon state ⋮ Fault tolerant filtering and fault detection for quantum systems driven by fields in single photon states ⋮ Mathematical models of Markovian dephasing ⋮ Quantum stochastic equations for an opto-mechanical oscillator with radiation pressure interaction and non-Markovian effects ⋮ Stochastic approach to evolution of a quantum system interacting with environment in squeezed number state ⋮ Wigner measures and quantum control ⋮ Principles and applications of quantum control engineering ⋮ Quantum filtering for a two-level atom driven by two counter-propagating photons ⋮ Quantum trajectories for environment in superposition of coherent states

Cites Work

• Quantum Ito's formula and stochastic evolutions
• Quantum continual measurements and a posteriori collapse on CCR
• Quantum stochastic calculus and quantum nonlinear filtering
• On quantum stochastic differential equations with unbounded coefficients
• Solving quantum stochastic differential equations with unbounded coefficients
• An Introduction to Quantum Filtering
• Continual Measurements in Quantum Mechanics and Quantum Stochastic Calculus
• Quantum cryptography

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