Second, quantum algorithms based on quantum systems can reduce the computing complexity of difficult problems, to achieve computational acceleration even exponentially, such as Shor’s algorithm, Grover’s algorithm, etc. The classical laws are no longer applicable in such scale, which requiring the support of quantum theory. First, The spatial scale of classical computer chips has approached the scale of quantum physics. This provides some kind of theoretical supports for qubits preparation and performing quantum operations experimentally.Īs one of the Frontier fields in the post-Moore’s Law era, quantum computing has received extensive attention from physicists, information scientists, and cryptographers.
BIG QUANTUM ERROR AFTER ALL CODE
Then, according to the threshold of the surface code error correction, we proved the minimum of quantum gate fidelity should not be less than 1 − p with the error probability p, and found the natural decoherence time of qubits that can be used for error correction.
We firstly discuss the mechanism of quantum errors: the precision of quantum gates corresponds to unitary operator errors, and the quality of qubits is attributed to decoherence. This requires that the qubits’ quality and the quantum gates precision can reach a certain level experimentally. Quantum error correction is a crucial step to realize large-scale universal quantum computing, and the condition for realizing quantum error correction is that the error probability of each operation step must below some threshold.
2School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, China.1State Key Laboratory of Magnetic Resonances and Atomic and Molecular Physic, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan, China.
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