Teleportation scheme ofS-level quantum pure states by two-level Einstein-Podolsky-Rosen states

Abstract

Unknown quantum pure states of arbitrary but definite s-level of a particle can be transferred onto a group of remote two-level particles through two-level EPRs as many as the number of those particles in this group. We construct such a kind of teleportation, the realization of which need a nonlocal unitary transformation to the quantum system that is made up of the s-level particle and all the two-level particles at one end of the EPRs, and measurements to all the single particles in this system. The unitary transformation to more than two particles is also written into the product form of two-body unitary transformations.Quantum mechanics offers us the capabilities of transferring information different from the classical case, either for computation or communication. Bennett et.al.[1], developed a quantum method of teleportation, through which, an unknown quantum pure state of a spin-1 2 particle (we call it 'qubit' [2,3] ) is teleported from the sender 'Alice' at the sending terminal onto the qubit at the receiving terminal where the receiver 'Bob' need to perform a unitary transformation on his qubit. At first it is necessary to prepare two spin-1 2 particles in an Einstein-Podolsky-Rosen (EPR) entangled state [4] or so-called a Bell state and send them to the two different places to establish a quantum channel between Alice and Bob. The second step is that Alice performs a Bell operator measurement [5] to the quantum system involving her share of the two entangled particles together with the particle at an unknown state to be transferred. Then through classical channels, for example, by broadcasting, Alice needs to let Bob know which one she gets of the four possible outcomes of the Bell operator measurement. After Bob performs on his share of the two formerly entangled particles one of four unitary transformations determined by those outcomes, this particle

Nonlocal unambiguous discrimination among N nonorthogonal qudit states lying in a higher-dimensional Hilbert space

“…In the following, we will use the insights of Roa et al [13] and Zhang et al [19] but follow a different pathway, which will result in a more efficient and practical remote operation B U design.…”

“…Then Alice performs a local unitary evolution on the state and sends the resulting state back to Bob via another state teleportation. The total resources for this protocol are two edits (entanglement qudits) and four cdits (classical dits) [19]. And there is no restriction for the discriminated states.…”

Multiparty-controlled teleportation of an arbitrary GHZ-class state by using a d-dimensional (N+2)-particle nonmaximally entangled state as the quantum channel

“…Zhou proposed a protocol for teleporting S-level quantum states by L two-level Einstein-podolsky-Rosen (EPR) states in 2001 [49]. Zeng proposed a protocol for teleporting a d-dimensional M-…”

Controlled Remote State Preparation via General Pure Three-Qubit State

“…Quantum teleportation (QT for short) is the first quantum information processing protocol presented by Bennett et al [1] to achieve the transmission of information contained in quantum state determinately. Many theoretical schemes have been proposed later [2,3,4,5,6]. It has also been realized experimentally [7,8,9,10,11,12,13,14].…”