Quantum error cancellation in photonic systems -- undoing photon losses
arXiv:2403.05252 · doi:10.1103/PhysRevA.110.022622
Abstract
Real photonic devices are subject to photon losses that can decohere quantum information encoded in the system. In the absence of full fault tolerance, quantum error mitigation techniques have been introduced to help manage errors in noisy quantum devices. In this work, we introduce an error mitigation protocol inspired by probabilistic error cancellation (a popular error mitigation technique in discrete variable systems) for continuous variable systems. We show that our quantum error cancellation protocol can undo photon losses in expectation value estimation tasks. To do this, we analytically derive the (non-physical) inverse photon loss channel and decompose it into a sum over physically realisable channels with potentially negative coefficients. The bias of our ideal expectation value estimator can be made arbitrarily small at the cost of increasing the sampling overhead. The protocol requires a noiseless amplification followed by a series of photon-subtractions. While these operations can be implemented probabilistically, for certain classes of initial state one can avoid the burden of carrying out the amplification and photon-subtractions by leveraging Monte-Carlo methods to give an unbiased estimate of the ideal expectation value. We validate our proposed mitigation protocol by simulating the scheme on squeezed vacuum states, cat states and entangled coherent states.
Comments welcome. 22 pages, 10 figures
References in corpus (38)
- Quantum Computing in the NISQ era and beyond
- Quantum Mechanics helps in searching for a needle in a haystack
- Gaussian Quantum Information
- Variational Quantum Algorithms
- Review article: Linear optical quantum computing
- Noisy intermediate-scale quantum (NISQ) algorithms
- Error mitigation for short-depth quantum circuits
- Quantum algorithms: an overview
- The Variational Quantum Eigensolver: a review of methods and best practices
- Extending the computational reach of a noisy superconducting quantum processor
- Efficient variational quantum simulator incorporating active error minimisation
- Quantum Error Mitigation
- Practical Quantum Error Mitigation for Near-Future Applications
- Hybrid quantum-classical algorithms and quantum error mitigation
- Gaussian Boson Sampling
- Boson Sampling from Gaussian States
- Probabilistic error cancellation with sparse Pauli-Lindblad models on noisy quantum processors
- A high-fidelity noiseless amplifier for quantum light states
- Variational quantum simulation of general processes
- Recent developments in photon-level operations on travelling light fields
- Fundamental limits of quantum error mitigation
- Nondeterministic Noiseless Linear Amplification of Quantum Systems
- Exponential Error Suppression for Near-Term Quantum Devices
- Quantum error mitigation as a universal error-minimization technique: applications from NISQ to FTQC eras
- Noisy intermediate-scale quantum computers
- Direct characterization of linear-optical networks
- Mitigating realistic noise in practical noisy intermediate-scale quantum devices
- Classical simulation of photonic linear optics with lost particles
- Quasiprobability decompositions with reduced sampling overhead
- Universal Sampling Lower Bounds for Quantum Error Mitigation
- Generalized quantum scissors for noiseless linear amplification
- Universal cost bound of quantum error mitigation based on quantum estimation theory
- Classical simulation of linear optics subject to nonuniform losses
- Ideal Quantum Tele-amplification up to a Selected Energy Cut-off using Linear Optics
- Accurate and precise characterization of linear optical interferometers
- Testing platform-independent quantum error mitigation on noisy quantum computers
- Transforming photon statistics through zero-photon subtraction
- Error mitigation on a near-term quantum photonic device