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Optics Express

Experimental verification of fault tolerant quantum key distribution protocol

Yun-Kun Jiang, Xiang‐Bin Wang, Bao‐Sen Shi, Akihisa Tomita

Published Jan 1, 2005• 7 citations
Publisher

Abstract

We have investigated fault tolerant quantum key distribution experimentally, using four polarization encoding two-qubit states generated by spontaneous parametric down conversion. Collective noises on polarization and phase were simulated by passing the states through a half wave plate and a quarter wave pate. Error rate was calculated by measuring the two-qubit states in three basis. Our results show that the protocol is tolerant under collective random unitary noise.

DOI
10.1364/opex.13.009415

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We have investigated fault tolerant quantum key distribution experimentally, using four polarization encoding two-qubit states generated by spontaneous parametric down conversion. Collective noises on polarization and phase were simulated by passing the states through a half wave plate and a quarter wave pate. Error rate was calculated by measuring the two-qubit states in three basis. Our results show that the protocol is tolerant under collective random unitary noise.
We present two robust quantum key distribution protocols against two kinds of collective noise, following some ideas in quantum dense coding. Three-qubit entangled states are used as quantum information carriers, two of which form the logical qubit, which is invariant with a special type of collective noise. The information is encoded on logical qubits with four unitary operations, which can be read out faithfully with Bell-state analysis on two physical qubits and a single-photon measurement on the other physical qubit, not three-photon joint measurements. Two bits of information are exchanged faithfully and securely by transmitting two physical qubits through a noisy channel. When the losses in the noisy channel is low, these protocols can be used to transmit a secret message directly in principle.
We experimentally implement a fault-tolerant quantum key distribution protocol with two photons in a decoherence-free subspace [Phys. Rev. A 72, 050304(R) (2005)]. It is demonstrated that our protocol can yield a good key rate even with a large bit-flip error rate caused by collective rotation, while the usual realization of the Bennett-Brassard 1984 protocol cannot produce any secure final key given the same channel. Since the experiment is performed in polarization space and does not need the calibration of a reference frame, important applications in free-space quantum communication are expected. Moreover, our method can also be used to robustly transmit an arbitrary two-level quantum state in a type of decoherence-free subspace.
Improving the tolerance of channel noise is an important task for devising and implementing quantum key distribution (QKD) protocols. Quantum phase-flip error rejection (QPFER) code [Phys. Rev. Lett.92, 077902 (2004)PRLTAO0031-900710.1103/PhysRevLett.92.077902] has been introduced by Wang to increase the tolerable phase-flip noise of QKD implementations. However, an experiment that demonstrates its advantages is still missing. Here, we experimentally verify the QPFER code with the assistance of two photon quantum states generated by spontaneous parametric downconversion. The methods of parity check and postselection are introduced to the protocol for achieving the phase-flipping rejection. Comparing with the standard realization of the single photon polarization encoding BB84 scheme, the quantum error rate after decoding is obviously reduced when the probability of channel noise is less than 25%. The experiment results also show that QPFER protocol can reduce error rate, obtain a higher key rate, and be robust in the noisy channel when the noise level is in a proper region.
We present two quantum key distribution (QKD) schemes over a collective-noise channel. Each logical qubit, composed of two physical qubits with a decoherence-free subspace, is immune to a collective noise and can carry one bit of information in theory. Although the receiver should prepare entangled two-photon quantum systems, he can read out the information encoded by the sender with two unitary operations on two photons, resorting to only two single-photon measurements, not Bell-state measurements, which makes these protocols simpler than others in experiment. These two QKD protocols are deterministic, not random, which makes the classical information exchanged be reduced largely. Also, they have a high intrinsic efficiency.
We propose easy implementable protocols for robust quantum key distribution with the collective dephasing channel or collective rotating channel. In these protocols, Bob only takes passive photon detection to measure the polarization qubits in the random bases. The source for the protocol with collective rotating channel is made by type 2 spontaneous parametric down conversion with random unitary rotation and phase shifter, no quantum disentangler is required. A simple proof for unconditionally security is shown.