๐Ÿ› ๏ธ Error Mitigation Techniques

Reduce quantum errors without full error correction

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Fault-Tolerant Quantum Computing

๐Ÿ› ๏ธ The NISQ Solution

Full quantum error correction requires thousands of physical qubits per logical qubitโ€”far beyond today's capabilities. Error mitigation offers a practical alternative: reduce errors through classical post-processing and clever measurement strategies, without the massive overhead of QEC.

๐Ÿ’ก Why Mitigation?

For NISQ (Noisy Intermediate-Scale Quantum) devices with 50-1000 qubits, error mitigation bridges the gap between noisy hardware and useful computation. It's the pragmatic approach for near-term quantum advantage.

๐ŸŽฏ What You'll Master

๐Ÿ“ˆ
Zero-Noise Extrapolation
Amplify noise and extrapolate backwards
๐ŸŽฒ
Probabilistic Cancellation
Invert noise through sampling
๐Ÿ“
Measurement Mitigation
Calibrate and correct readout
๐ŸŽ“
Practical Strategy
When and how to apply each method

โš–๏ธ Mitigation vs Error Correction

๐Ÿ› ๏ธError Mitigation
Qubit overhead:None
Time overhead:2-100ร—
Error reduction:10-100ร—
Scalability:Limited
๐Ÿ›ก๏ธFull QEC
Qubit overhead:100-1000ร—
Time overhead:10-100ร—
Error reduction:Exponential
Scalability:Unlimited

๐Ÿ”ง Main Techniques

Zero-Noise Extrapolation2-5ร—

Amplify noise and extrapolate to zero

Probabilistic Error Cancellation10-1000ร—

Invert noise via sampling

Clifford Data Regression5-20ร—

Learn noise from simpler circuits

Measurement Mitigation1.2-2ร—

Correct readout errors