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World Congress on Intelligent Control and Automation

Quantum information splitting with many-party controllers

Min Jiang, Frank Jiang

Published Jun 1, 2014• 0 citations
Publisher

Abstract

In this paper, we develop an efficient and economic scheme in distributing quantum information scenario for remote partners via the control of many agents that are constrained by limited resources in a quantum communication network. Within such a network, quantum information is composed of multiple independent multi-qudit states, although each controlling agent is assigned only one controlling qudit, the agent can still control the distribution of all the quantum information. This scheme involves only generalized Bell-state measurement, single-qudit measurement and one-qudit gates, leading to a more flexible and achievable physical implementation.

DOI
10.1109/wcica.2014.7052898

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We present a controlled teleportation scheme for teleporting an arbitrary superposition state of an M -qudit quantum system. The scheme employs only one entangled state as quantum channel, which consists of the qudits from Alice, Bob and every agent. The quantum operations used in the teleportation process are a series of qudit Bell measurements, single-qudit projective measurements, qudit H -gates, qudit-Pauli gates and qudit phase gates. It is shown that the original state can be restored by the receiver only on the condition that all the agents collaborate. If any agent does not cooperate, the original state can not be fully recovered.
In this paper, we first propose a remote state preparation (RSP) scheme in the traditional sense, which accomplishes the remote preparation of a single-qubit controlled by multiple agents in the network. This triggers a new RSP scheme, by which we can remotely prepare tensor product-type quantum states controlled by one agent. After that, we generalize the above approach to the RSP scheme of multi-qubit information controlled by multiple agents in the network. In the extended scheme, as long as all agents operate faithfully, the receiver can recover all qubits of information in the original state; otherwise, the scheme fails. Such a scheme entangles quantum information in the preparation process, thus slashing the cost of such quantum resources as auxiliary qubits and local unitary operations, and, meanwhile, reducing the number of classical bits transferred among participants. Finally, we further investigate the remote preparation scheme for multiple qubit-string information under the control of multiple agents in the network.
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In a quantum network, it often occurs that there are many remote nodes which should collaborate with each to perform unitary operations. Most of the time, it can be addressed by bi-direction quantum teleportation. However, it often consumes too much quantum resources. In this paper, we propose an efficient scheme for implementation of remote control of some restricted sets of multi-qudit unitary operation. Alice (controller) prepares one cat-like-state by CONT operation and sends them to the remote Bobs (BobbBob2) by sharing Bell channels respectively. Then Bobs perform a series of local operations with cat-like-state's control. By comparing with the previous work, our scheme generalizes it from one controller and one target to one controller and two targets. Our scheme does not only save the working time, but also reduces the quantum communication resources. Moreover, we also give its quantum circuit, which could lead us to a better and clearer understanding. Finally, we generalize our scheme to the case of rf-dimensional qudits.