We propose an efficient scheme for remotely preparing an arbitrary n-qubit equatorial state via n two-qubit maximally entangled states Compared to the former scheme (Wei et al in Quantum Inf Process 16:260, 2017) that has the 50% successful probability when the amplitude factors of prepared states are $$2^{-n{/}2}$$
 , the probability would be increased to 100% by using of our modified proposal The feasibility of our scheme for remote preparation arbitrary multi-qubit equatorial states is explicitly demonstrated by theoretical studies and concrete examples

Deterministic remote preparation of arbitrary multi-qubit equatorial states via two-qubit entangled states

In this article, we propose a four-party double-direction quantum cyclic controlled remote state preparation scheme, where two-qubit states can be remotely prepared cyclically among three correspondents both in clockwise and counterclockwise directions simultaneously under the control of the supervisor. Before presenting our four-party scheme, we give the quantum circuit diagram for constructing the 25-qubit quantum entangled channel. In our scheme, each correspondent merely carries out a four-qubit projective measurement and the supervisor only need to perform a single-qubit measurement in the Z-basis. After obtaining the measurement results from the other two correspondents and the supervisor, each correspondent can restore the desired states perfectly by applying proper unitary operations. The proposed four-party scheme can also be extended to the case containing $$m(m>3)$$
 correspondents, by using a $$(8m+1)$$
 -qubit entangled channel. Discussions show that the success probability of both the proposed four-party and $$(m+1)$$
 -party schemes can reach 1. We also analyze the control power of the supervisor in our scheme. Detailed analysis demonstrates that the control power of the supervisor can also be guaranteed.

Double-direction quantum cyclic controlled remote state preparation of two-qubit states

We propose an efficient scheme for joint remote state preparation (JRSP) of arbitrary multi-qubit states from two senders to one receiver with the 100% successful probability. Quantum channel is composed of maximally three-qubit entangled states, and several special mutually orthogonal measurement basis are constructed without the introduction of auxiliary particles. We also calculate the total classical communication cost required in the JRSP processes. The concrete JRSP procedures for remotely preparing single-qubit and two-qubit states are illustrated to prove explicitly the feasibility of this JRSP protocol.

Deterministic joint remote preparation of arbitrary multi-qubit states via three-qubit entangled states

We propose a novel and efficient scheme for probabilistic controlled remote state preparation of an arbitrary two-qubit quantum state with the aid of the introduction of auxiliary particles and some appropriate local unitary operations. In this scheme, two partially three-qubit entangled states are used as quantum channel. The controlled preparation with one sender, two receivers and one controller can be realized when the information of nonmaximally entangled states are only available for the sender. Furthermore, the concrete implementation processes of this proposal are presented, and the successful probability of our scheme are calculated in the general case and special case, respectively.

Probabilistic controlled remote state preparation of an arbitrary two-qubit state via partially entangled states with multi parties

In this paper, we present an efficient scheme for remote state preparation of arbitrary n-qubit states with real coefficients. Quantum channel is composed of n maximally two-qubit entangled states, and several appropriate mutually orthogonal bases including the real parameters of prepared states are delicately constructed without the introduction of auxiliary particles. It is noted that the successful probability is 100% by using our proposal under the condition that the parameters of prepared states are all real. Compared to general states, the probability of our protocol is improved at the cost of the information reduction in the transmitted state.

Optimal remote preparation of arbitrary multi-qubit real-parameter states via two-qubit entangled states

We propose a novel scheme for remote preparation of an arbitrary n-qubit state with the aid of an appropriate local $$2^n\times 2^n$$
 unitary operation and n maximally entangled two-qubit states. The analytical expression of local unitary operation, which is constructed in the form of iterative process, is presented for the preparation of n-qubit state in detail. We obtain the total successful probabilities of the scheme in the general and special cases, respectively. The feasibility of our scheme in preparing remotely multi-qubit states is explicitly demonstrated by theoretical studies and concrete examples, and our results show that the novel proposal could enlarge the applied range of remote state preparation.

Remote preparation of an arbitrary multi-qubit state via two-qubit entangled states

In this paper, an efficient scheme of remotely preparing four-qubit quantum states via two-qubit maximally entangled states is proposed. This scheme can be accomplished by using appropriate unitary transformations and some classical communication. The detailed processes for preparation of four-qubit states are presented in the general case and two special cases, respectively. The method of constructing special measurement basis in general case is provided, and the similar methods for real-parameter state case and equatorial state case are also discussed. Meanwhile, the probabilities of successful preparation under each case are calculated in our schemes. The results show that the successful probability is only 1 / 16 in the general case, and the probability can reach up to 100% when the relative phase factors are zero or the amplitude parameters are 1 / 4.

Remote preparation of four-qubit states via two-qubit maximally entangled states

/pdf/free-space-quantum-key-distribution-based-on-turbulence-1s4b6re0tm.pdf

Free space quantum key distribution based on turbulence bubble model

We propose a novel scheme to probabilistically transmit an arbitrary unknown two-qubit quantum state via Positive Operator-Valued Measurement with the help of two partially entangled states. In this scheme, the teleportation with two senders and two receives can be realized when the information of non-maximally entangled states is only available for the senders. Furthermore, the concrete implementation processes of this proposal are presented, meanwhile the classical communication cost and the successful probability of our scheme are calculated.

Probabilistic Teleportation of an Arbitrary Two-Qubit State via Positive Operator-Valued Measurement with Multi Parties

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