The price to pay, the increase in circuit complexity makes this solution undesirable this Quantum codes capable of correcting a larger number of errors is possible, we believe that To ensure that the circuit for syndrome calculation is fault-tolerant.
Correlated errors quantum error correction code#
If we use a two-level convolutionalĬode based upon Shor’s code then we need 81 physical qubits and 63 = 7 × 9 ancilla qubits Using Shor’s nine qubit code we need 9 physical qubits. For example, if we encode a logical qubit It becomes increasingly more difficult to carry out the encoding and syndrome measurementsĭuring a single quantum error correction cycle. When a quantum error correcting code uses a large number of qubits and quantum gates (ii) use the classical information regarding past errors and quantum error correcting.(i) design a code capable to correct these two or more errors, or.There are two obvious approaches to deal with quantum correlated errors : Quantum computing using solid state systems. Sidered in this thesis is based upon a recent study which addresses the problem of reliable An error affecting qubit i at time t and corrected at time t + ∆ may have further effect either on qubit i or on other qubits of the register. An error affecting qubit i of an n-qubit register may affect other qubits of the register. Spatially-correlated errors and means to deal with the spatial noise are analyzed If the qubits on an n-qubit register are confined to a 3D structure, an error af-įecting one qubit will propagate to the qubits in a volume centered around the qubit inĮrror. Vironment are more complex and force us to consider spatially- as well as, time-correlatedĮrrors. Different physical implementations reveal that the interactions of the qubits with the en.