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Springer eBooks

Quantum Jumps

David Finkelstein

Published Jan 1, 1996• 0 citations
Publisher
DOI
10.1007/978-3-642-60936-7_4

Related papers

Continuous Measurement: Quantum Jump Case

Andrew N. Jordan, Irfan A. Siddiqi

In Chapter 6, we discuss quantum jumps, or leaps, beginning with a historical discussion of quantum jumps, or leaps, and giving the motivating example of blinking atoms in trapped ions and quantum jumps in superconducting circuits. Despite the disruptive name, we discuss how jumps fit into the category of continuous measurement. In some cases, quantum jumps can be predicted, and even reversed. We build up the mathematical formalism by discussing the quantum Zeno effect, Lindblad-type master equations, leading to jump and no-jump dynamics - an inseparable combination of discrete and continuous dynamics. In fact, the discrete nature of the jump is illusory. We discuss the dynamics of a quantum jump and the transition from jumps to diffusion.

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Quantum jump codes and related combinatorial designs

Masakazu Jimbo, Keisuke Shiromoto

Quantum jump codes were introduced by Alber et al. (2001). Quantum jump codes have a close connection with combinatorial designs called t-SEED (t-spontaneaus emission error design). In this paper, we give a brief survey of quantum jump codes together with some new results. Firstly, fundamental properties of a t-error correcting quantum jump code are described. Secondly, a few examples of jump codes are given and an upper bound on the dimension of a jump code with a fixed length and given error correcting ability is derived. A relation between a t-SEED and a jump code is discussed and various constructions of t-SEEDs are given.

NATO science for peace and security series. D, Information and communication security•Jan 1, 2011•10 citations

QUANTUM JUMPS

WORLD SCIENTIFIC eBooks•Jun 1, 2000•0 citations

QUANTUM JUMP APPROACH IN SUPERCONDUCTING QUBITS

Yang Yu

Quantum mechanics had been considered as a theory of ensembles for a long time since its foundation.However,quantum jumps demonstrated in atomic system after 1980s leads to new approaches,such as quantum jumps approach,that can be used to describe the trajectory of single quantum system.Here we summarized our recent efforts to develop quantum jump approach to the Josephson-tunnel-junction based superconducting qubits.We experimentally demonstrated quantum jumps in a macroscopic quantum system.In addition,quantum jumps can serve as a useful tool to investigate the properties of the two-level systems that are ubiquitous in solid-state systems.

Progress in physics•Jan 1, 2009•0 citations
In Chapter 6, we discuss quantum jumps, or leaps, beginning with a historical discussion of quantum jumps, or leaps, and giving the motivating example of blinking atoms in trapped ions and quantum jumps in superconducting circuits. Despite the disruptive name, we discuss how jumps fit into the category of continuous measurement. In some cases, quantum jumps can be predicted, and even reversed. We build up the mathematical formalism by discussing the quantum Zeno effect, Lindblad-type master equations, leading to jump and no-jump dynamics - an inseparable combination of discrete and continuous dynamics. In fact, the discrete nature of the jump is illusory. We discuss the dynamics of a quantum jump and the transition from jumps to diffusion.
Quantum jump codes were introduced by Alber et al. (2001). Quantum jump codes have a close connection with combinatorial designs called t-SEED (t-spontaneaus emission error design). In this paper, we give a brief survey of quantum jump codes together with some new results. Firstly, fundamental properties of a t-error correcting quantum jump code are described. Secondly, a few examples of jump codes are given and an upper bound on the dimension of a jump code with a fixed length and given error correcting ability is derived. A relation between a t-SEED and a jump code is discussed and various constructions of t-SEEDs are given.
Quantum mechanics had been considered as a theory of ensembles for a long time since its foundation.However,quantum jumps demonstrated in atomic system after 1980s leads to new approaches,such as quantum jumps approach,that can be used to describe the trajectory of single quantum system.Here we summarized our recent efforts to develop quantum jump approach to the Josephson-tunnel-junction based superconducting qubits.We experimentally demonstrated quantum jumps in a macroscopic quantum system.In addition,quantum jumps can serve as a useful tool to investigate the properties of the two-level systems that are ubiquitous in solid-state systems.