Quantum Measurement and Control

By Claus Kiefer. 2010

2,007 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/96c2d7a3549dc5071d04e7413fb993440e24f70a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Quantification and characterization of leakage errors (2017, methodology): “This is described by the Markovian photon-loss dissipator [27]”
On-chip quantum interference of a superconducting microsphere (2016, methodology): “We assume that a homodyne measurement of the phase quadrature of the output cavity field is performed, such that the evolution of the density matrix ρ̂T describing the centerof-mass motion and the cavity mode is given by the following stochastic master equation [42]”
Quantum non-Markovianity: characterization, quantification and detection (2014, background): “Specifically, the error (variance) of any (unbiased) estimation of the parameter θ is related to the quantum Fisher information through the quantum Cramer-Rao bound [35, 82, 208, 209]: (∆θ)(2) ≥ 1 F(ρθ) .”
Cavity quantum electro-optics (2010, methodology): “This technique should also enable microwave squeezing by measurement and feedback [26].”
Effective Theory for the Measurement-Induced Phase Transition of Dirac Fermions (2021, methodology): “(B2), the evolution equation for the operator expectation value 〈Ô〉 for a general operator Ô according to the Îto product rule [38] is”
Quantum metrology from a quantum information science perspective (2014, background): “The basics of quantum metrology [12, 13, 14, 15, 16, 17, 18, 19, 20, 21] can be perhaps best understood in the fundamental task of magnetometry with a fully polarised atomic ensemble.”
Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions (2016, background): “It is worth pointing out that even classical measurements can also be disturbing [45] as in fact any real measurement is.”
Quantum trajectories and open many-body quantum systems (2014, background): “The possibility of making such approximations has resulted in the development of several complementary formalisms, including quantum Langevin equations [60– 64], quantum master equations [2,60,65,66], and continuous measurement theory [2,53].”
Modes and states in quantum optics (2019, background): “So far, most attention has been given to the quantum state issue, and there is an extensive literature on its choice (Giovannetti et al., 2011; Wiseman and Milburn, 2009), which constitutes an important part of the domain of quantum metrology, but much less attention has been given to the mode…”
Machine learning \& artificial intelligence in the quantum domain (2017, background): “This setting is also not typically studied in the basic theory of AI, but occurs in the closely related problem of control theory (Wiseman and Milburn, 2010), which may be more familiar to physicists.”
Training Schrödinger’s cat: quantum optimal control (2015, methodology): “Most of the developments of quantum feedback control have been made in the context of quantum optics [336, 356, 446, 447].”
Symmetries and conserved quantities in Lindblad master equations (2013, background): “Another area of investigation involving Lindblad generators is Markovian quantum feedback [3, 48, 80] – the study of using the output of an open quantum system to control its dynamics.”
Entanglement transition from variable-strength weak measurements (2019, methodology): “experiments for quantum states readout [27] and quantum feedback protocols [28–30], and can be used as a theoretical tool to reproduce Lindblad dynamics of open systems via trajectory averaging [25, 26].”
Quantum Fluctuation Theorems for Arbitrary Environments: Adiabatic and Nonadiabatic Entropy Production (2017, methodology): “Consider the following master equation in Lindblad form [4, 60, 72], depending on an external parameter λt:”
Quantum error correction for quantum memories (2013, neutral): “The feedback cannot just rely on the instantaneously measured noisy signal but should integrate over a longer measurement record to estimate the current conditional quantum state of the system (Wiseman and Milburn, 2010).”
Engineered Open Systems and Quantum Simulations with Atoms and Ions (2012, neutral): “…is described by the Liouvillian part of the master equation, L(ρ) = ∑ β γβ 2 ( 2cβρc † β − c † βcβρ − ρc † βcβ ) , (2) where the individual terms are of Lindblad form (Wiseman and Milburn, 2009) and are determined by quantum jump operators cα, acting on single particles or on subsets of…”
Quantum-enhanced machine learning (2016, background): “The CQ The CQ setting asks how classical learning techniques may aid in quantum tasks, such as quantum control [16, 17], quantum metrology [18], adaptive quantum computing [19] and the design of quantum experiments [20]. asks how classical ML techniques may aid in quantum tasks, such as quantum…”
Geometry and Response of Lindbladians (2015, background): “These results may also be useful in determining properties of asymptotic algebras of observables [149, 150] and properties of quantum jump trajectories when the Lindbladian is “unraveled” [151].”