Optimal strategies for sending information through a quantum channel

Details Optimal strategies for sending information through a quantum channel Optimal strategies for sending information through a quantum channel

2000-06-16

arxiv.org/abs/quant-ph/0006075v3

Phys. Rev. Lett. 85, 5230 (2000)

Physics

Quantum Physics

4 pages, RevTex, final version to appear in Phys.Rev.Lett

Scientific paper

10.1103/PhysRevLett.85.5230

Quantum states can be used to encode the information contained in a direction, i.e., in a unit vector. We present the best encoding procedure when the quantum state is made up of $N$ spins (qubits). We find that the quality of this optimal procedure, which we quantify in terms of the fidelity, depends solely on the dimension of the encoding space. We also investigate the use of spatial rotations on a quantum state, which provide a natural and less demanding encoding. In this case we prove that the fidelity is directly related to the largest zeros of the Legendre and Jacobi polynomials. We also discuss our results in terms of the information gain.

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