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arXiv:quant-ph/0202040

Linear Optics Quantum Communication over Long Distances

Zeng‐Bing Chen, Huai-Xin Lu, Zhang, Yong-De

Published Feb 7, 2002• 0 citations
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Abstract

We propose a feasible scheme for teleporting an arbitrary polarization state or entanglement of photons by requiring only single-photon (SP) sources, simple linear optical elements and SP quantum non-demolition measurements. An unknown SP polarization state can be faithfully teleported either to a duplicate polarization state or to an entangled state. Our proposal can be used to implement long-distance quantum communication in a simple way. The scheme is within the reach of current technology and significantly simplifies the realistc implementation of long-distance high-fidelity quantum communication with photon qubits.

DOI
10.48550/arxiv.quant-ph/0202040

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We propose a feasible scheme to create nnn-party (n≥2n\geq 2n≥2) polarization-entangled photon states in a controllable way. The scheme requires only single-photon sources, single-photon quantum non-demolition measurement (SP-QNDM) and simple linear optical elements, usually with high perfections. The SP-QNDM acts as a non-destructive projection measurement onto the wanted entangled states and filters out the unwanted terms. Our scheme in fact realizes entanglement of non-interacting photons; the interaction occurs only implicitly in the optical elements and SP-QNDM. We also briefly consider purification of mixed single-photon states within our scheme.
After the preceding four introductory chapters, we are finally ready to discuss optical quantum information processing. While in principle quantum communication can be implemented with atoms or electrons, in practice the implementation of choice for long-distance quantum communication will almost certainly be optical. In this chapter, we will develop some of the key topics in quantum communication with single photons, and we will discuss continuous-variable quantum communication in Chapter 8. In some ways, quantum communication is the most technologically advanced part of quantum information processing. Most protocols in this chapter, such as teleportation and cryptography, have been convincingly demonstrated in the lab, and there are already several commercial organizations that sell cryptographic systems based on quantum mechanical principles. In particular, the promise of secure communication with quantum cryptography is one of the driving forces behind the development of single-photon sources and detectors. In this chapter, we first construct several optical representations of the qubit, including polarized photons and time-bin encoding. Since the single-photon implementation of a qubit is central to optical quantum information processing, this constitutes a large part of the chapter. In Section 5.2 we discuss quantum teleportation and entanglement swapping with single photons. We also present a method for entanglement distillation using entanglement swapping. In Section 5.3 we introduce decoherence-free subspaces, which can be used to reduce noise in the transmission of quantum information, and even establish communication channels in the absence of shared reference frames.
Quantum entanglement distribution is an essential part of quantum communication and computation protocols. Here, linear optic elements are employed for distribution of quantum entanglement over long distance. Polarization beam splitters and wave plates are used for realization of an error-free protocol for broadcasting quantum entanglement in optical quantum communication. This protocol can determine maximum distance of quantum communication to transmit quantum information without decoherence. Error detection and error correction are performed in the proposed scheme. In other words, if bit-flip occurs along the quantum channel, the end stations (Alice and Bob) can detect this state changing and obtain the correct state (entangled photon) on the another port. Existing general error detection protocols are based on the quantum controlled-NOT (CNOT) or similar quantum logic operations, which are very difficult to implement experimentally. Here we present a feasible scheme for the implementation of entanglement distribution based on linear optics element that does not need quantum CNOT gate.