Quantifying Non-realistic Features of Quantum State and Process
Chien-Ting Chen1*, Che-Ming Li1
1Department of Engineering Science, National Cheng Kung University, Tainan, Taiwan
* presenting author:CHEN CHIEN TING, email:z122246@hotmail.com.tw
Quantum states are the mathematical objects that are not compatible with the description of the classical theory of realism [1, 2]. Such an intrinsic property of quantum states has provided tools to distinguish quantum from classical processes [3] and applications to quantum information processing [4]. There is, however, no scheme for quantifying this non-classicality of quantum states. Here we define the states that can be described by the classical realistic theory and propose further two measures to quantify the non-realistic features of quantum state and process. General properties of quantum state and process are determined by our novel quantifiers. Their applications to quantum information processing and the study on the quantum channel such as phase-damping and amplitude-damping channels are introduced as well.

1. M. F. Pusey, J. Barrett, and T. Rudolph, “On the reality of the quantum state,” Nat. Phys., 8, 475-478(2012).

2. M. Ringbauer, B. Duffus, C. Branciard, E. G. Cavalcanti, A. G. White, and A. Fedrizzi, “Measurements on the reality of the wavefunction,” Nat. Phys. 11, 249-254 (2015).

3. C.-M. Li, Y.-N. Chen, N. Lambert, C.-Y. Chiu, and F. Nori,“Certifying single-system steering for quantum-information processing,” Phys. Rev. A, accepted(2015).

4. C.-M. Li, Y.-N. Chen, N. Lambert, C.-Y. Chiu, and F. Nori,“Certifying single-system steering for quantum-information processing,” Phys. Rev. A, accepted(2015).


Keywords: Quantum state, Non-realistic Features, Ontological models