<p>In this paper, we discussed a multi-hop protocol designed for implementation of quantum operations on qubits in the possession of a distant party who is not connected directly to the party intending to implement the operation. The essence of the protocol is that there are intermediate nodes which are connected by Bell states. Quantum measurements are executed at these intermediate nodes and communicated back to the party intending to perform the remote operation after which the intending party, Alice, executes the desired operation, performs appropriate measurement and classically communicates to Bob the required information which is collected by Bob for his decision to implement the final step in the protocol. The protocol thus avoids long-distance use of entanglement which is risky and disadvantageous due to the fragile nature of the entangled resources. At first, the two-hop case is discussed which is followed by the general multi-hop case. The effect of four types of noises is discussed, and the fidelity of the remote control process for these four different types of noises is analyzed.</p>

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Multi-hop protocol for quantum remote operation on qubits

  • Plaban Saha,
  • Binayak S. Choudhury,
  • Manoj Kumar Mandal

摘要

In this paper, we discussed a multi-hop protocol designed for implementation of quantum operations on qubits in the possession of a distant party who is not connected directly to the party intending to implement the operation. The essence of the protocol is that there are intermediate nodes which are connected by Bell states. Quantum measurements are executed at these intermediate nodes and communicated back to the party intending to perform the remote operation after which the intending party, Alice, executes the desired operation, performs appropriate measurement and classically communicates to Bob the required information which is collected by Bob for his decision to implement the final step in the protocol. The protocol thus avoids long-distance use of entanglement which is risky and disadvantageous due to the fragile nature of the entangled resources. At first, the two-hop case is discussed which is followed by the general multi-hop case. The effect of four types of noises is discussed, and the fidelity of the remote control process for these four different types of noises is analyzed.