Quantum Tasks with Non-maximally Quantum Channels via Positive Operator-Valued Measurement
- PDF / 417,847 Bytes
- 13 Pages / 439.37 x 666.142 pts Page_size
- 26 Downloads / 177 Views
Quantum Tasks with Non-maximally Quantum Channels via Positive Operator-Valued Measurement Jia-Yin Peng · Ming-Xing Luo · Zhi-Wen Mo
Received: 28 June 2012 / Accepted: 28 August 2012 / Published online: 7 September 2012 © Springer Science+Business Media, LLC 2012
Abstract By using a proper positive operator-valued measure (POVM), we present two new schemes for probabilistic transmission with non-maximally four-particle cluster states. In the first scheme, we demonstrate that two non-maximally four-particle cluster states can be used to realize probabilistically sharing an unknown three-particle GHZ-type state within either distant agent’s place. In the second protocol, we demonstrate that a non-maximally four-particle cluster state can be used to teleport an arbitrary unknown multi-particle state in a probabilistic manner with appropriate unitary operations and POVM. Moreover the total success probability of these two schemes are also worked out. Keywords Quantum task · Non-maximally cluster state · Positive operator-valued measurement · Bell-basis measurement
1 Introduction Quantum teleportation, the disembodied transport of a quantum state based on the nonlocal properties of an entangled state resource, has been demonstrated to be one of the most peculiar and fascinating aspects of quantum information theory. After Bennett et al. [1] have proposed the teleportation theory, quantum teleportation has played an important role in the rapidly evolving quantum information and quantum communications. It may have applications in quantum cryptography [2–4], quantum computer [5, 6] and quantum dense coding [7]. Moving beyond the teleportation of one-particle or two-particle unknown states, J.-Y. Peng · Z.-W. Mo School of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China J.-Y. Peng School of Mathematics and Information Science, Neijiang Normal University, Neijiang 641100, China M.-X. Luo () Information Security and National Computing Grid Laboratory, School of Information Science and Technology, Southwest Jiaotong University, Chengdu 610031, China e-mail: [email protected]
254
Int J Theor Phys (2013) 52:253–265
some studies have focused on the transmission of a multi-particle state [8–12], probabilistic teleportation [13, 14] and controlled teleportation [15–18]. In these studies the quantum entangled state as quantum channel is the key physical resource, such as GHZ states [19], W states [20, 21], Graph states [22], non-maximally entangled states [23], and so on. As a result, the QSTS schemes can be classified into two types. One only deals with the deterministic manner, where pure entangled states are employed [18, 20, 24, 25]; while the other deals with the probabilistic manner, where partly pure entangled states are used [26, 27]. However, not all entangled states can be used to implement perfect teleportation, and that whether or not an entangled state can implement teleportation is determined by its entanglement properties [28]. Hence teleportation can also reveal some propert
Data Loading...
