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Stabilizer Slicing: Coherent Error Cancellations in Low-Density Parity-Check Stabilizer Codes.
Dripto M Debroy1, Muyuan Li2, Michael Newman1,3
1Department of Physics, Duke University, Durham, North Carolina 27708, USA.
Physical Review Letters
|January 5, 2019
Summary
We developed stabilizer slicing to suppress coherent errors in quantum computing. This technique significantly reduces logical error rates, making quantum computations more reliable by constructively interfering overrotations.
Area of Science:
- Quantum Computing
- Quantum Error Correction
Background:
- Coherent errors are a major noise source in quantum computing, leading to detrimental overrotations.
- Existing methods struggle to mitigate these systematic errors effectively.
Purpose of the Study:
- To introduce a novel technique, stabilizer slicing, for suppressing coherent errors in quantum computing.
- To demonstrate the effectiveness of stabilizer slicing in improving the logical error rate of quantum codes.
Main Methods:
- Stabilizer slicing involves dividing low-weight stabilizers into two equally weighted Pauli operators.
- These operators are applied with opposite rotations to cause destructive interference of overrotations on the logical subspace.
- The technique is analyzed for native gates from three-body Hamiltonians and conventional two-body ion trap gates.
Main Results:
- Complete elimination of coherent overrotation errors is achieved with three-body Hamiltonians.
- A 135-fold improvement in logical error rate for surface-17 code with 0.99 unitarity overrotation noise.
- An 89-fold improvement for Bacon-Shor-13 code using two-body ion trap gates, leveraging gauge degrees of freedom.
Conclusions:
- Stabilizer slicing offers a powerful method for mitigating coherent errors in quantum computing.
- The technique demonstrates significant improvements in logical error rates for specific quantum codes and gate implementations.
- Coherent noise can be advantageous over stochastic noise when quantum coherence is effectively utilized.
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