Lugli Matteo, Perinotti Paolo, Tosini Alessandro
QUIT group, Dipartimento di Fisica, Università di Pavia, and INFN Sezione di Pavia, via Bassi 6, 27100 Pavia, Italy.
Phys Rev Lett. 2020 Sep 11;125(11):110403. doi: 10.1103/PhysRevLett.125.110403.
We consider the problem of local operations and classical communication (LOCC) discrimination between two bipartite pure states of fermionic systems. We show that, contrary to the case of quantum systems, for fermionic systems it is generally not possible to achieve the ideal state discrimination performances through LOCC measurements. On the other hand, we show that an ancillary system made of two fermionic modes in a maximally entangled state is a sufficient additional resource to attain the ideal performances via LOCC measurements. The stability of the ideal results is studied when the probability of preparation of the two states is perturbed, and a tight bound on the discrimination error is derived.
我们考虑费米子系统的两个二分纯态之间的局域操作与经典通信（LOCC）判别问题。我们表明，与量子系统的情况相反，对于费米子系统，一般不可能通过LOCC测量实现理想的态判别性能。另一方面，我们表明由处于最大纠缠态的两个费米子模组成的辅助系统是通过LOCC测量实现理想性能的充分额外资源。当两个态的制备概率受到扰动时，研究了理想结果的稳定性，并导出了判别误差的严格界。
