Quantum teleportation with identical particles

Abstract

We study teleportation with identical massive particles. Indistinguishability imposes that the relevant degrees of freedom to be teleported are not particles, but rather addressable orthogonal modes. We discuss the performances of teleportation under the constraint of conservation of the total number of particles. The latter inevitably decreases the teleportation fidelity. Moreover, even though a phase reference, given by the coupling to a reservoir, circumverts the constraint, it does not restore perfect deterministic teleportation. The latter is only achievable with some special resource entangled states and when the number of particles tends to infinity. Interestingly, some of such states are the many-particle atomic coherent states and the ground state of cold atoms loaded into a double well potential, which are routinely prepared in experiments.Comment: 23 pages, 8 figure

Spectral properties of reduced fermionic density operators and parity superselection rule

“…For instance, bipartitions with respect to different spin components were considered recently [51]. Mathematically, we deal with the algebraic bipartition in the second quantized description [52][53][54][55][56], which is used in the study of entanglement [45,[57][58][59][60].…”

Indistinguishability of Elementary Systems as a Resource for Quantum Information Processing

“…This implies that any other quantum protocol using sLOCC in the same system can be analogously processed. The teleportation mechanism here described basically differs from previous ones using identical particles, based on entangled particle number states [36,37].…”

Concurrence Measurement for the Two-Qubit Optical and Atomic States

“…Nowadays, entanglement is required in nearly all quantum communication and computation protocols [3], such as quantum teleportation [4][5][6][7], dense coding [8,9], quantum key distribution (QKD) [10][11][12], quantum secure direct communication [13][14][15], quantum computation [16][17][18][19], and other protocols [20][21][22][23]. During the past decade, with the rapid development of the experimental process on quantum control, there is a rapidly growing interest in entanglement generation [24][25][26][27][28][29][30][31][32].…”