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Which is the error correction code?
The most classic example of error-correction is the repetition code, where for each bit in an input message, we duplicate each bit multiple times. For example, if you had the message 01101 we could encode it using this repetition method and it would become 000 111 111 000 111 .
What is Surface code?
Surface codes are building blocks of quantum computing platforms based on 2D arrays of qubits responsible for detecting and correcting errors. The error suppression achieved by the surface code is usually estimated by simulating toy noise models describing random Pauli errors.
What is a Pauli error?
The syndrome measurement “forces” the qubit to “decide” for a certain specific “Pauli error” to “have happened”, and the syndrome tells us which, so that error correction can let the same Pauli operator act again on the corrupted qubit to revert the effect of the error.
Is quantum error correction possible?
Quantum error correction (QEC) is used in quantum computing to protect quantum information from errors due to decoherence and other quantum noise. But it is possible to spread the information of one qubit onto a highly entangled state of several (physical) qubits. …
Which is an example of quantum error correction?
Though not a true example of quantum error correction — it uses physical qubits to encode a logical bit, rather than a qubit — it serves as a simple guide to all the basic concepts in any quantum error correcting code. We will also see how it can be run on current prototype devices.
How does the Shor code in quantum computing work?
The Shor code works by first taking the computational state of the main qubit and transferring it to the 3rd and 6th qubit. These qubits are used for correcting phase errors. After this these qubits are put in to superposition using a Hadamard gate.
How is quantum error correction used in Qiskit?
One is exactly what it is used for in Qiskit: as the first and simplest test of implementing the ideas behind quantum error correction. We will now implement these ideas explicitly using Qiskit. To see the effects of imperfect qubits, we simply can use the qubits of the prototype devices. We can also reproduce the effects in simulations.
How is error mitigation used in quantum computing?
In the current era of quantum computing, we seek to use physical qubits despite their imperfections, by designing custom algorithms and using error mitigation effects. For the future era of fault-tolerance, however, we must find ways to build logical qubits from physical qubits.