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Optical Fiber Communication Conference

Quantum Communication: Quantum Communication is the art of transferring a quantum state from one location, Alice, to a distant one, Bob

Nicolas Gisin, Hugo Zbinden

Published Jan 1, 2017• 0 citations
Publisher

Abstract

Quantum communication Quantum Communication is the art of transferring a quantum state from one location, Alice, to a distant one, Bob. Ultimately, information is carried by the physical state of some quantum systems
DOI
10.1364/ofc.2017.w3k.1

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Oxford University Press eBooks•Nov 16, 2006•0 citations
Quantum communication is the art of transferring a quantum state from one location to a distant one. Commercial applications cover Quantum Random Number Generators (QRNG) and Quantum Key Distributions (QKD). Academic research focuses mostly on two topics. First, quantum repeaters that should allow one to break the 500 Km distance limit of direct QKD; the grand challenge is second-long quantum storage with 90% efficiency. A second topic is Device Independent Quantum Information Processing, another intellectually fascinating prospect.
Quantum communications is the art of transferring a quantum state from one location to a distant one. On the application side, quantum communication is already relatively advanced with Quantum Random Number Generators and Quantum Key Distribution (QKD) systems having found niche markets. However, on the academic research side quantum communication has still a long way to go until a functional quantum repeater can extend the distances to continental scales. Quantum repeaters are based on quantum teleportation, the most fascinating application of entanglement. Additionally, quantum repeaters require quantum memories with memory times close to a second; this represents one grand challenge for quantum communication.
Abstract This chapter discusses some of the ways in which quantum entanglement can be used for quantum communication. Suppose Alice and Bob share an entangled state: they can use it for dense coding, in which Alice sends Bob just one qubit of an entangled pair, which delivers two bits of classical information. Alice and Bob can also use an entangled state for teleportation, in which a qubit in a unknown quantum state is teleported from Alice to Bob when Alice sends Bob two classical bits. Entanglement swapping is an example of a tripartite communication protocol. If Alice and Bob share entanglement, and Bob and Charlie share entanglement, entanglement swapping can be used to entangle Alice and Charlie. Even if Alice and Bob are entangled, Alice cannot communicate with Bob without sending him classical bits or qubits, which prevents Alice and Bob from breaking the laws of relativity. This chapter also discusses Pauli matrices and the extension of Hilbert spaces.
Teleportation here is a process by which a quantum state is transferred from one place to another, a bit analogous to the teleportation taking place in Star Trek. Alice (A) has particle 1 in a state φ (1) that she wants to transfer to Bob (B). A source sends one of a singlet pair of particles, particle 2, to A and the other, particle 3, to B. A does a Bell-state measurement on the 1–2 pair. A sends the result to B via normal communication methods, which tells B what transformation should be done on the particle B received, so that the state ends in the original φ (3). Experiments have confirmed the method. The chapter discusses the nature of the two-particle Bell states and how experimenter can measure such states. Teleportation, since it involves information transfer, may have applications in quantum computing.
In this article, the authors have discussed the Alice and Bob experimental set-up for the quantum teleportation, giving a detailed step-by step mathematical explanation of each unit. Quantum teleportation of a qubit requires the creation of an entangled quantum state between the sender’s (Alice) and the receiver’s (Bob) shared quantum state/s. At the end of this experiment, actual measurements of the Alice’s share of quantum information are to be taken and shared with Bob via a classical communication channel. The teleportation is expected to open up a whole new regime of quantum communication, data encryption to be one of its applications.
We are now ready to look at our first protocols for quantum information. In this section, we examine two communication protocols which can be implemented using the tools we have developed in the preceding sections. These protocols are known as superdense coding and quantum teleportation. Both are inherently quantum: there are no classical protocols which behave in the same way. Both involve two parties who wish to perform some communication task between them. In descriptions of such communication protocols (especially in cryptography), it is very common to name the two parties ‘Alice’ and ‘Bob’, for convenience. We will follow this tradition. We will repeatedly refer to communication channels. A quantum communication channel refers to a communication line (e.g. a fiberoptic cable), which can carry qubits between two remote locations. A classical communication channel is one which can carry classical bits (but not qubits).1 The protocols (like many in quantum communication) require that Alice and Bob initially share an entangled pair of qubits in the Bell state The above Bell state is sometimes referred to as an EPR pair. Such a state would have to be created ahead of time, when the qubits are in a lab together and can be made to interact in a way which will give rise to the entanglement between them. After the state is created, Alice and Bob each take one of the two qubits away with them. Alternatively, a third party could create the EPR pair and give one particle to Alice and the other to Bob. If they are careful not to let them interact with the environment, or any other quantum system, Alice and Bob’s joint state will remain entangled. This entanglement becomes a resource which Alice and Bob can use to achieve protocols such as the following. Suppose Alice wishes to send Bob two classical bits of information. Superdense coding is a way of achieving this task over a quantum channel, requiring only that Alice send one qubit to Bob. Alice and Bob must initially share the Bell state Suppose Alice is in possession of the first qubit and Bob the second qubit.