Example: The three-qubit code This article explains the basics of quantum error correction, the types of quantum errors, and some common quantum error correction codes. It also provides an example of how to correct errors using the three-qubit code. What is quantum error correction? Quantum ...
The description of quantum error correction suggests a close analogy with classical error correction, and, indeed, several subspace quantum codes are based on classical error correcting code. Quantum error correction requires a multi-qubit measurement that does not disturb the quantum information in the...
Nested Quantum Error Correction CodesI describe a method for pasting together certain quantum error-correcting codes that correct one error to make a single larger one-error quantum code. I show how to construct codes encoding 7 qubits in 13 qubits using the method, as well as 15 qubits in ...
Quantum error correction [1, 2, 3, 4] provides a path to reach practical quantum computing by combining multiple physical qubits into a logical qubit, where the logical error rate is suppressed exponentially as more qubits are added. However, this exponential suppression only occurs if the physic...
The three qubit bit flip code (Quantum error-correction) 上述仅仅在经典中进行介绍,在量子中也存在 quantum error-correction code,但由于一些基本问题,可能存在一些不同。 No cloning: 在量子中,通过独立的备份量子态来纠错的方法,因为 no-cloning theorem 而无法实现。
9.1 经典错误校正(Classical Error Correction) 错误模型(error model):它描述了一个比特集合的演化过程。 信道(channel):无误差(error-free)信道称为恒等信道(identity channel),其不会对bit产生影响。 最经典的错误模型是比特翻转(bit-flip)模型,其以一定的概率 p 对原有值进行翻转,如下图所示: 在电路上将错误...
code. This is possible because the code encodes more information into the same number of physical qubits, while still showing excellent performance at error rates below 0.001. Furthermore, each qubit is coupled to six others, a reasonable hardware requirement for realizing the error correction ...
(decoherence) are major obstacles for performing quantum computation and historically many great efforts have been made on reducing such effects39,40. One of the traditional and representative schemes for this is the quantum-error-correction (QEC) coding5,8,10,11,17,41,42,43,44. Another ...
operation Recover (code : Microsoft.Quantum.ErrorCorrection.QECC, fn : Microsoft.Quantum.ErrorCorrection.RecoveryFn, logicalRegister : Microsoft.Quantum.ErrorCorrection.LogicalRegister) : Unit 输入 代码: QECC 打包为 QECC 类型的量子错误更正代码描述了量子数据的编码和解码,以及如何测量错误综合症。 fn:...
Riverlane’s quantum error correction stack – Deltaflow, helps quantum computers accelerate their path to performance beyond the supercomputing threshold.