More precisely, the number of shots required to simulate a circuit scales as \(\). The quasiprobability method exhibits a simulation overhead in terms of an additional sampling cost. 24.The device is fabricated using an isotopically natural, undoped Si/SiGe heterostructure. By correctly post-processing the measurement outcome, one can obtain an unbiased estimator for the expectation values of the ideal circuit. The triple-quantum-dot device is identical to the one characterized in ref. These noisy circuits are randomly sampled and run.
The central idea is to decompose the ideal (noise-free) quantum circuit into a quasiprobabilistic mixture of noisy circuits, called quasiprobability decomposition (QPD), that one can implement on a given hardware. One specific method in the family of quantum error mitigation techniques is the quasiprobability method 5 (also known as probabilistic error cancellation). The hope is to use error mitigation techniques to demonstrate a quantum advantage on a useful task with near-term devices. The term quantum error mitigation (QEM) is often used to group these methods.
All of these methods come with a certain drawback that prohibits them from achieving large-scale fault-tolerant quantum computation. Multiple schemes have been proposed 3, 4, 5, 6 that aim to reduce the effect of noise while also being significantly easier to implement than quantum error correction.
#Steinspring quantum error correction full
It is thus a natural question if it is possible to mitigate noise on quantum hardware without the need of full quantum error correction. The cost for a fault-tolerant implementation of a given circuit is a polylogarithmic overhead that is tame when speaking of asymptotics, but currently available quantum hardware does not fulfil the requirements for quantum error correction 2 and it remains a major challenge to achieve this goal. The celebrated threshold theorem ensures that given the noise level of the physical gates is below some constant threshold value, arbitrarily long calculations are possible at arbitrarily low error rates 1. The theory of quantum error correction and fault-tolerant quantum computing solves this problem. Quantum error correction and symmetry arise in many areas of physics, including many-body systems, metrology in the presence of noise, fault-tolerant. Unlike classical computers, quantum computers suffer from a significant amount of noise which accumulates over the execution of a quantum algorithm and thus limits experiments to shallow quantum circuits. is known as purification and is described by the Stinespring dilation theorem 45. Quantum computing holds the promise for significant advancements in various fields such as quantum chemistry, material science, optimization, and machine learning. the surface code, one of the most promising quantum error correcting.
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