# Coherent States and Some Topics in Quantum Information Theory : Review

@article{Fujii2002CoherentSA, title={Coherent States and Some Topics in Quantum Information Theory : Review}, author={Kazuyuki Fujii}, journal={arXiv: Quantum Physics}, year={2002} }

In the first half we make a short review of coherent states and generalized coherent ones based on Lie algebras su(2) and su(1,1), and the Schwinger's boson method to construct representations of the Lie algebras. In the second half we make a review of recent developments on both swap of coherent states and cloning of coherent states which are important subjects in Quantum Information Theory.

## 2 Citations

### Some Properties of Generalized Hypergeometric Thermal Coherent States

- Physics
- 2006

The generalized hypergeometric coherent states (GHCSs) have been introduced by Appl and Schiller (1). In the present paper we have extended some considerations about GHCSs to the mixed (thermal)…

## References

SHOWING 1-10 OF 22 REFERENCES

### Introduction to Coherent States and Quantum Information Theory

- Physics
- 2001

The purpose of this paper is to introduce several basic theorems of coherent states and generalized coherent states based on Lie algebras su(2) and su(1,1), and to give some applications of them to…

### Note on coherent states and adiabatic connections, curvatures

- Physics, Mathematics
- 1999

We give a possible generalization to the example in the paper of Zanardi and Rasetti [Phys. Lett. A 264, 94 (1999)]. For this, explicit forms of adiabatic connection, curvature, etc., are given. We…

### Non-Abelian Berry connections for quantum computation

- Physics
- 1999

In the holonomic approach to quantum computation, information is encoded in a degenerate eigenspace of a parametric family of Hamiltonians and manipulated by the associated holonomic gates. These are…

### Introduction to Grassmann manifolds and quantum computation.

- Mathematics
- 2001

Geometrical aspects of quantum computing are reviewed elementarily for nonexperts and/or graduate students who are interested in both geometry and quantum computation. We show how to treat Grassmann…

### Introduction to Quantum Computation Information

- Physics, Computer Science
- 2002

This book aims to provide a pedagogical introduction to the subjects of quantum information and computation, including non-locality of quantum mechanics, quantum computation, quantum cryptography, quantum error correction, fault-tolerant quantum computation and quantum cryptography.

### Generalized Coherent States and Their Applications

- Mathematics, Physics
- 1986

I Generalized Coherent States for the Simplest Lie Groups.- 1. Standard System of Coherent States Related to the Heisenberg-Weyl Group: One Degree of Freedom.- 1.1 The Heisenberg-Weyl Group and Its…

### Coherent states over Grassmann manifolds and the WKB exactness in path integral

- Mathematics
- 1995

U(N) coherent states over Grassmann manifold, GN,n≂U(N)/(U(n)×U(N−n)), are formulated to be able to argue the WKB exactness in the path integral representation of a character formula. The phenomena…

### Coherent states,Path integral,and Semiclassical approximation (マニフォ-ルド上での量子化および量子論)

- Physics
- 1994

Using the generalized coherent states it is shown that the path integral formulas for SU(2) and SU(1,1) (in the discrete series) are WKB exact, if it is started from the trace of e−iTĤ, where H is…