Quantum computing, noisy quantum dynamics and error mitigation:
Quantum error software#
Here is a (non-comprehensive) list of open-source software libraries related to Endo, Hybrid quantum-classical algorithms and error mitigation, PhD Thesis, 2019, Oxford University ( Link). Sun et al., 2020, arXiv įor an extensive introduction: S. Phys., 2020 Įrror mitigation for analog quantum simulation, J. A, 2014 :Įxtending the variational quantum eigensolver (VQE) to excited states, R. On other error-mitigation techniques such as:Īpproximate error-correcting codes in the generalized amplitude-damping channels, C.Comm., 2020 Įxperiment on a superconducting circuit device, R. Lett., 2019, Įxploiting molecular symmetries, J. Sun et al., 2019 arXiv īy hybrid quantum-classical hierarchy introduction, J. 2020 Įxperiment with gate set tomography on a supeconducting circuit device, J.
![quantum error quantum error](https://theculturednerd.org/wp-content/uploads/2020/04/Quantum-Error-3.jpg)
Randomized compiling with twirling gates, J. Lett., 2017 Įxperiment on superconducting circuit chip, A. Ī list of research articles academic resources on error mitigation: Shuttled with electromagnetic pulses, and solid-state artificial atoms, including quantum dots, are heavily affected by inhomogeneous broadening. For example, superconducting-circuit-based quantum computers have chips thatĪre prone to cross-talk noise, while qubits encoded in trapped ions need to be
Quantum error series#
This means that stored information can be corrupted, or that, during calculations, the protocols are not faithful.Įrrors occur for a series of reasons in quantum computers and the microscopicĭescription at the physical level can vary broadly, depending on the quantumĬomputing platform that is used, as well as the computing architecture. This is due to the fact that quantum computers are devices that are embedded in an environment and interact with it. Indeed, a series of issues arise when someone wants to perform a calculation on a On the other hand, when this interaction is not controlled - and at the fundamental level it cannot be completely suppressed - noise eventually kicks in, thus introducing errors that are disruptive for the fidelity of the information-processing protocols. On the one hand, the qubit-environment exchange can be controlled, and this feature is actually fundamental to extract information and process it. Open quantum systems, that is, systems that exchangeĮnergy and information with the surrounding environment. More in general, quantum computing devices can be studied in the framework of
![quantum error quantum error](https://i.ytimg.com/vi/eUEMi5NrglI/maxresdefault.jpg)
For example this can be achieved with the unitary folding technique, a method which is present in the mitiq toolchain. The effective noise of a quantum circuit can be scaled also at a gate-level, i.e., without requiring a direct control of the physical hardware. Was introduced by controlling only the gate-defining pulses. In this way, a difference between the effective time that a gate is affected by decoherence during its execution on the hardware In experiments, zero-noise extrapolation has been performed with pulse
Quantum error free#
However, it is important to point out that zero-noise extrapolation is a very general method in which one is free to scale and extrapolate almost whatever parameter one wishes to, even if the underlying noise model is unknown. Likewise, zero-noise extrapolation can be applied also to non-Markovian noise models. Is by picking an underlying noise model, e.g., a memoryless bath such that the system dissipates with Lindblad dynamics. In theory, one way zero-noise extrapolation can be simulated, also with mitiq, These methodsĪre contained in the and mitiq.zne modules. Statistical fitting models, which can be linear or non-linear. \(\langle X\rangle_\) can occur with several Then re-running the calculation (which is indeed a time evolution) for This is done in practice by running a quantum circuit (simulation) andĬalculating a given expectation variable, \(\langle X\rangle_\lambda\), It is then possible to extrapolate the zero-noise limit.
![quantum error quantum error](https://images.pushsquare.com/d9864a9452245/quantum-error-ps5-playstation-5-1-original-original.900x.jpg)
Increase it to a value \(\lambda'=c\lambda\), with \(c>1\), so that Strength of noise is unavoidable in the system, quantified by a quantity \(\lambda\), it is still possible to The crucial idea behind zero-noise extrapolation is that, while some minimum