TY - JOUR
AB - We explicitly exhibit a set of four ququad-ququad orthogonal maximally entangled states that cannot be perfectly distinguished by means of local operations and classical communication. Before our work, it was unknown whether there is a set of d locally indistinguishable d - d orthogonal maximally entangled states for some positive integer d. We further show that a 2 - 2 maximally entangled state can be used to locally distinguish this set of states without being consumed, thus demonstrate a novel phenomenon of entanglement discrimination catalysis. Based on this set of states, we construct a new set K consisting of four locally indistinguishable states such that K -m (with 4m members) is locally distinguishable for some m greater than one. As an immediate application, we construct a noisy quantum channel with one sender and two receivers whose local zero-error classical capacity can achieve the full dimension of the input space but only with a multi-shot protocol. © 2012 American Physical Society.
AU - Yu, N
AU - Duan, R
AU - Ying, M
DA - 2012/07/13
DO - 10.1103/PhysRevLett.109.020506
JO - Physical Review Letters
PY - 2012/07/13
TI - Four locally indistinguishable ququad-ququad orthogonal maximally entangled states
VL - 109
Y1 - 2012/07/13
Y2 - 2019/06/27
ER -