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arXiv:1407.0653 · Physical Review A

Suppressing correlated noise in signals transmitted over the Gaussian memory channels using a 2N -port splitter and phase flips

Ke-Xia Jiang, Shiquan Zhang, Ke San-Min, Heng Fan

Published Nov 14, 2014• 0 citations
arXivHTMLPDF

Abstract

A scheme for suppressing the correlated noise in signals transmitted over the bosonic Gaussian memory channels is proposed. This is a compromise solution rather than removing the noise completely. The scheme is based on linear optical elements, two $N$-port splitters and $N$ number of phase flips. The proposed scheme has the advantages that the correlated noise of the memory channels is greatly suppressed, and the input signal states can be protected excellently when transmitting over the noise channels. We examine the suppressing efficiency of the scheme for the correlated noise, both from quantum information of the states directly transmitted through the noise channel and also from the entanglement teleportation. The operation of phase flips in our scheme is important for the suppression of the correlated noise, which can diminish the effect of noise in quantum communication. Increasing the number of beam splitters also can improve the suppressing efficiency of the scheme in quantum communication.

DOI
10.1103/physreva.90.052320

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A scheme for suppressing the correlated noise in signals transmitted over the bosonic Gaussian memory channels is proposed. This is a compromise solution rather than removing the noise completely. The scheme is based on linear optical elements, two NNN-port splitters and NNN number of phase flips. The proposed scheme has the advantages that the correlated noise of the memory channels is greatly suppressed, and the input signal states can be protected excellently when transmitting over the noise channels. We examine the suppressing efficiency of the scheme for the correlated noise, both from quantum information of the states directly transmitted through the noise channel and also from the entanglement teleportation. The operation of phase flips in our scheme is important for the suppression of the correlated noise, which can diminish the effect of noise in quantum communication. Increasing the number of beam splitters also can improve the suppressing efficiency of the scheme in quantum communication.
Quantum teleportation is a useful communication protocol in quantum communication, which enables the transmission of quantum states over long distances. However, quantum noise inevitably affects quantum communication, resulting in the teleported state not being the ideal target state. In order to minimize the impact of quantum noise, we propose a new method to mitigate bit-flip and phase-flip noise of quantum channel in this paper. This method shares additional ancillary particles between the two parties of communication, which can effectively reduce the influence of bit-flip and phase-flip noise on the entangled channel, thereby improving the efficiency of quantum teleportation in noisy environments. We analyze the performance of the proposed method in detail through mathematical calculations. The results show that proposed scheme can resist the bit-flip and phase-flip noise with noise factor less than 0.5. When the noise factor is small, adding a small amount of auxiliary particles can greatly improve the fidelity of the output state: when the number of auxiliary particles increases to 5, the scheme can resist quantum noise with a noise factor less than or equal to 0.3, making fidelity of the output state is close to 1. When the noise factor is large, it is necessary to add more auxiliary particles to offset the influence of noise.
Abstract Quantum-information processing and computation with bosonic qubits are corruptible by noise channels. Using interferometers and photon-subtraction gadgets (PSGs) accompanied by linear amplification and attenuation, we establish linear-optical methods to mitigate and suppress bosonic noise channels. We first show that by employing amplifying and attenuating PSGs respectively at the input and output of either a thermal or random-displacement channel, probabilistic error cancellation (PEC) can be carried out to mitigate errors in expectation-value estimation. We also derive optimal physical estimators that are properly constrained to improve the sampling accuracy of PEC. Next, we prove that a purely-dephasing channel is coherently suppressible using a multimode Mach–Zehnder interferometer and conditional vacuum measurements (vacuum-based Mach–Zehnder scheme or the VMZ scheme). In the limit of infinitely-many ancillas, with nonvanishing success rates, VMZ using either Hadamard or two-design interferometers turns any dephasing channel into a phase-space-rotated linear-attenuation channel that can subsequently be inverted with (rotated) linear amplification without Kerr nonlinearity. Moreover, for weak central-Gaussian dephasing, the suppression fidelity increases monotonically with the number of ancillas and most optimally with Hadamard interferometers. We demonstrate the performance of these linear-optical mitigation and suppression schemes on common noise channels (and their compositions) and popular bosonic codes. While the theoretical formalism pertains to idling noise channels, we also provide numerical evidence supporting mitigation and suppression capabilities with respect to noise from universal gate operations.
The task of protecting quantum entanglement is crucial for quantum communication. Conventionally, correlated noise correction requires an electro-optic modulation process, which limits the application of such correction schemes in constructing broadband quantum communication. Here, we experimentally demonstrate a scheme of all-optical entanglement recovery in a correlated noisy channel without electro-optic modulation. In our scheme, the correlated noisy channel is enabled by an Einstein−Podolsky−Rosen entangled state, a low-noise parametric amplifier, and a beam splitter, thereby avoiding electro-optic conversion. Quantum entanglement is destroyed after one half of the quantum entangled state passes through the noisy channel. Such quantum entanglement can be recovered in the auxiliary noisy channel which shares correlated noise with the noisy channel. Our results pave the way for deterministically implementing all-optical quantum secure communication.
Using quantum channels to transmit classical information has been proven to be advantageous in several scenarios. These channels have been assumed to be memoryless, meaning that consecutive transmissions of information are uncorrelated. However, as shown experimentally, such correlations do exist, and thereby retain memory of previous information. This memory complicates the protection of entangled-information transmission from decoherence. We have recently addressed these fundamental questions by developing a generalized master equation for multipartite entangled systems coupled to finite-temperature baths and subject to arbitrary external perturbations whose role is to provide dynamical protection from decay and decoherence. Here we explore and extend the foregoing strategy to quantum optical communication schemes wherein polarization-entangled photons traverse a bit-flip channel with temporal and spatial memory, such that the two channels experience cross-decoherence. We introduce a novel approach to the protection of the entangled information from decoherence in such schemes. It is based on selectively modulating the photon polarizations in each channel. We show that by applying selective modulation, one can independently control the symmetry and spatial memory attributes of the channel. We then explore the effects of these attributes on the channel capacity. Remarkably, we show that there is a nontrivial interplay between the effects of asymmetry and memory on the channel capacity.
Abstract The teleportation of quantum Fisher information (QFI), a crucial protocol for remote quantum metrology, is fundamentally limited by decoherence in the entangled channel. Here, we propose and numerically analyze an enhanced scheme that incorporates a conditional flip operation (WM-QMR-Flip), transforming the protocol into an active, preemptive strategy for protecting the teleportation of QFI through a correlated generalized amplitude damping noise channel. Our results demonstrate that this active scheme significantly enhances the teleported QFI across a wide range of environmental parameters, including temperature and interaction time. We reveal the existence of an optimal set of measurement and reversal strengths that maximizes QFI recovery, while also characterizing the inherent trade-off between the degree of protection and the success probability of the protocol. Most significantly, we find a synergistic effect between our protection scheme and the channel’s memory; the QFI improvement increases monotonically with the channel correlation parameter, demonstrating that our protocol effectively leverages environmental memory as a resource. We conclude by discussing the feasibility of implementing this robust protection scheme on a linear optical platform, paving the way for more resilient distributed quantum sensing networks.
We consider a model of a bosonic memory channel, which induces correlations among the transmitted signals. The application of suitable unitary transformations at the encoding and decoding stages allows the complete removal of correlations, thereby mapping the memory channel into a memoryless one. However, such transformations, being global over an arbitrarily large number of bosonic modes, are not realistically implementable. We then introduce a family of efficiently realizable transformations, which can be used to partially remove correlations among errors, and we quantify the reduction of the gap with memoryless channels.