Symmetric discrete coherent states for n qubits

Abstract

We put forward a method of constructing discrete coherent states for n qubits. After establishing appropriate displacement operators, the coherent states appear as displaced versions of a fiducial vector that is fixed by imposing a number of natural symmetry requirements on its Q-function. Using these coherent states we establish a partial order in the discrete phase space, which allows us to picture some n-qubit states as apparent distributions. We also analyze correlations in terms of sums of squared Q-functions.

arXiv commentPublished in J. Phys. A. Special issue on Coherent States

References in corpus (4)

• Quantum spin squeezing
• Optimal spin squeezing inequalities detect bound entanglement in spin models
• Jacobi Theta-functions and Discrete Fourier Transforms
• Discrete coherent states for n qubits

Cited by in corpus (5)

• Macroscopic features of quantum fluctuations in large N qubit system
• Coarse graining the phase space of $N$ qubits
• Tomography from collective measurements
• Discrete phase-space mappings, tomographic condition and permutation invariance
• Generalized reduction formula for Discrete Wigner functions of multiqubit systems