A robust W-state encoding for linear quantum optics

Abstract

Error-detection and correction are necessary prerequisites for any scalable quantum computing architecture. Given the inevitability of unwanted physical noise in quantum systems and the propensity for errors to spread as computations proceed, computational outcomes can become substantially corrupted. This observation applies regardless of the choice of physical implementation. In the context of photonic quantum information processing, there has recently been much interest in passive linear optics quantum computing, which includes boson-sampling, as this model eliminates the highly-challenging requirements for feed-forward via fast, active control. That is, these systems are passive by definition. In usual scenarios, error detection and correction techniques are inherently active, making them incompatible with this model, arousing suspicion that physical error processes may be an insurmountable obstacle. Here we explore a photonic error-detection technique, based on W-state encoding of photonic qubits, which is entirely passive, based on post-selection, and compatible with these near-term photonic architectures of interest. We show that this W-state redundant encoding techniques enables the suppression of dephasing noise on photonic qubits via simple fan-out style operations, implemented by optical Fourier transform networks, which can be readily realised today. The protocol effectively maps dephasing noise into heralding failures, with zero failure probability in the ideal no-noise limit. We present our scheme in the context of a single photonic qubit passing through a noisy communication or quantum memory channel, which has not been generalised to the more general context of full quantum computation.

arXiv commentUpdated draft to accepted version in Quantum

References in corpus (25)

• Long-distance quantum communication with atomic ensembles and linear optics
• Three qubits can be entangled in two inequivalent ways
• Measurement-based quantum computation with cluster states
• Quantum Computational Supremacy
• On the impossibility of distilling Gaussian states with Gaussian operations
• Noiseless Linear Amplification and Distillation of Entanglement
• Classical simulation of commuting quantum computations implies collapse of the polynomial hierarchy
• Driving non-Gaussian to Gaussian states with linear optics
• Quantum Sampling Problems, BosonSampling and Quantum Supremacy
• Instantaneous Quantum Computation
• Nondeterministic Noiseless Linear Amplification of Quantum Systems
• Sufficient Conditions for Efficient Classical Simulation of Quantum Optics
• Sampling of partially distinguishable bosons and the relation to the multidimensional permanent
• Faithful qubit transmission against collective noise without ancillary qubits
• Error tolerance of the BosonSampling model for linear optics quantum computing
• BosonSampling with Lost Photons
• Sufficient bound on the mode mismatch of single photons for scalability of the boson sampling computer
• Error Filtration and Entanglement Purification for Quantum Communication
• Ultrafast Fault-Tolerant Long-Distance Quantum Communication with Static Linear Optics
• Gaussian Noise Sensitivity and BosonSampling
• Error models for mode-mismatch in linear optics quantum computing
• Non-deterministic noiseless amplification via non-symplectic phase space transformations
• Self-error-rejecting photonic qubit transmission in polarization-spatial modes with linear optical elements
• Passive quantum error correction of linear optics networks through error averaging
• Boson Sampling is Robust to Small Errors in the Network Matrix

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• Improving Continuous-variable Quantum Channels with Unitary Averaging
• Optimal and robust error filtration for quantum information processing
• Quantum cloning transformation unlocks the potential of W class of states in a quantum secure direct communication protocol