Controlled Remote Preparation of a Two-Qubit State via Positive Operator-Valued Measure and Two Three-Qubit Entanglements

Abstract

Utilizing a proper positive operator-valued measure (POVM) instead of usual projective measurement, we present a new scheme for remote preparation of a general two-qubit state in either distant ministrant's place. In the scheme, we exploit a GHZ-type state and a W-type state as the shared quantum channel, and the remote two-qubit preparation can be realized in a probabilistic manner via two ministrants' collaboration. Furthermore, we also explore the scheme's applications to some special ensembles of states in detail. The success probabilities in different cases are calculated, respectively, which show that the remote preparation can be achieved with higher probability provided that the prepared state belongs to the special ensembles.

Multiparty Joint Remote Preparation of an Arbitrary GHZ-Class State via Positive Operator-Valued Measurement

“…, k n−1 . In [95][96][97][98], to preparing the original state via pure entangled quantum channel, the receiver need first introduce some auxiliary qubits and entangle some auxiliary qubits with his particle, and then performs POVM measurement depend on the entangled quantum channel. Different to [95,96], in joint remote state preparation, the sender can perform a proper POVM measurement depend on his knowledge of the original state.…”

“…Although there are some schemes for remote state preparation with a pure entangled quantum channel, the receiver need to introduce the auxiliary qubit and the POVM measurement is chosen according to the state of the pure entangled channel, not the state of original state [95][96][97][98]. In this section, we will discuss the joint remote preparation of an arbitrary GHZclass state with POVM measurement depend on the original state by using a pure entangled state as the quantum channel.…”

“…Similar to [95][96][97][98], the probability that the receiver can prepare the arbitrary GHZ-class state via a pure entangled channel is 2x. Here x represent the probability corresponding to Alice 0 's measurement operator E q (q = 0, 1).…”

“…Although there are some schemes for remote state preparation via POVM measurement [95][96][97][98], all of them are based on POVM measurement performed by the receiver and the POVM measurement chosen by the receiver is depend on the state of the entangled quantum channel, not the state of the original state. However, in RSP the sender can perform some special chosen measurement depend on his knowledge of the original state.…”

POVM construction: A simple recipe with applications to symmetric states

“…We illustrate the proposed construction on a spin-1 system, and show that it is possible to generate entangled states from separable ones. Introduction.-Positive Operator-Valued Measures (POVMs) are used frequently in quantum information processing tasks including quantum filtering [1,2], realization of quantum communication protocols [3][4][5][6], entanglement verification [7], Remote State Preparation (RSP) [8] and conclusive teleportation [9,10]. Their construction and physical realization are of particular interest in quantum information theory [11][12][13] with emphasis on optimal measurements through Symmetric Informationally-Complete (SIC) POVMs [14,15] and fidelity measures [16].…”