Journal
QUANTUM SCIENCE AND TECHNOLOGY
Volume 3, Issue 2, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/2058-9565/aaa39f
Keywords
open quantum systems; quantum circuits; quantum trajectories; stochastic master equations; quantum filters; qubits; Gaussian noise
Funding
- National Science Foundation [PHY-1521016, PHY-1314763]
- Office of Naval Research [N00014-11-1-0082]
- Australian Research Council [DE160100356]
- Perimeter Institute for Theoretical Physics
- Government of Canada through the Department of Innovation, Science and Economic Development Canada
- Province of Ontario through the Ministry of Research, Innovation and Science
- Centre of Excellence in Engineered Quantum Systems (EQuS) [CE110001013]
- Australian Research Council [DE160100356] Funding Source: Australian Research Council
- Division Of Physics
- Direct For Mathematical & Physical Scien [1521016] Funding Source: National Science Foundation
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In this paper we approach the theory of continuous measurements and the associated unconditional and conditional (stochastic) master equations from the perspective of quantum information and quantum computing. We do so by showing how the continuous-time evolution of these master equations arises from discretizing in time the interaction between a system and a probe field and by formulating quantum-circuit diagrams for the discretized evolution. We then reformulate this interaction by replacing the probe field with a bath of qubits, one for each discretized time segment, reproducing all of the standard quantum-optical master equations. This provides an economical formulation of the theory, highlighting its fundamental underlying assumptions.
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