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Qiskit; what is the ecr gate on quantum runs?
The ECR (Echoed Cross-Resonance) gate is a type of quantum gate used in Qiskit, particularly for quantum runs on IBM Quantum devices. Here's a bit more about it:
ECR Gate Overview
Maximally Entangling: The ECR gate is a maximally entangling gate, meaning it can create strong entanglement between qubits, similar to the CNOT gate.
Echoing Procedure: The gate uses an echoing procedure to mitigate unwanted terms (other than the desired ZX interaction) that can arise during its operation. This helps in reducing errors and improving the fidelity of the gate.
Equivalent to CNOT: The ECR gate is equivalent to a CNOT gate up to single-qubit pre-rotations. This means it can perform the same entangling function as a CNOT gate but with potentially better performance on certain hardware.
The ECR gate is particularly useful in quantum algorithms that require strong entanglement between qubits and can benefit from the error mitigation provided by the echoing procedure
Matrix Representation
The matrix representation of the ECR gate is:
The ECR gate is particularly useful in quantum algorithms that require strong entanglement between qubits and can benefit from the error mitigation provided by the echoing procedure
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The CNOT gate:
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