Clifford Circuit Teleportation With Stabilizer Error Detection
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Solution Overview
Problem
Current quantum computing methods face challenges in reducing logical error rates in Clifford circuits with high overhead and significant sampling costs, making them inefficient for large-scale implementations.
Innovation Solution
A method for implementing Clifford circuits using gate teleportation and stabilizer measurements to detect errors, reducing logical error rates with lower overhead and minimal sampling costs, employing a quantum processor with specific qubit configurations and ancilla qubits to correct faults.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If quantum error correction is used to reduce logical error rates, then reliability is improved, but device complexity and qubit overhead increase significantly
Solution Approach 1:
The patent segments the quantum circuit into multiple blocks (first block of n qubits, second block of n qubits, third block of n qubits, and ancilla qubit) to distribute the error correction functionality across separate modules. This segmentation allows the system to reduce logical error rates without requiring a monolithic increase in total qubit overhead, as each block handles specific error correction tasks independently.
Solution Approach 2:
The patent introduces stabilizer measurements as an intermediary mechanism between the quantum blocks and the error correction process. By measuring stabilizers on the second and third blocks, the system can detect errors without directly correcting them through traditional quantum error correction codes, thereby reducing the overhead while maintaining reliability.
2Reliability
If quantum error mitigation is used to reduce logical error rates, then reliability is improved, but productivity decreases due to exponential sampling cost
Solution Approach 1:
The patent applies preliminary error detection through stabilizer measurements on the second and third blocks before the final computation is completed. By detecting errors early in the process through these preliminary measurements, the system avoids the need for exponential sampling required by traditional error mitigation techniques, thereby maintaining reliability while preserving productivity.
Solution Approach 2:
The quantum blocks perform self-diagnosis through stabilizer measurements, allowing the system to detect and identify errors without requiring extensive external sampling. This self-service mechanism enables the system to maintain low logical error rates through efficient, polynomial-time error detection rather than exponential sampling.
3Reliability
If surface codes are used for quantum error correction, then reliability is improved, but device complexity increases with 17 physical qubits per logical qubit
Solution Approach 1:
The patent divides the quantum system into segmented blocks (first block, second block, third block, and ancilla qubit) where each block contains n qubits. This segmentation allows the system to achieve error correction with a total overhead of 3n + 1 qubits, which is significantly lower than the 17n qubits required by surface codes for the same logical qubit count, thereby reducing device complexity while maintaining reliability.
Solution Approach 2:
The patent applies partial error correction by measuring stabilizers on only the second and third blocks rather than implementing full error correction across all qubits. This partial action approach provides sufficient error correction capability to reduce logical error rates without requiring the complete overhead of traditional surface codes, achieving a balance between reliability and device complexity.
Data Source
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AI summary
A method of implementing an n-qubit Clifford unitary on a quantum processor comprising a first block of n qubits, a second block of n qubits, a third block of n qubits, and an ancilla qubit includes preparing n Bell states each on a pair of a qubit in the second block and a qubit in the third block, applying an n-qubit Clifford circuit that corresponds to the n-qubit Clifford unitary, to the third block, measuring one or more stabilizers supported on the second block and the third block, applying controlled-NOT gates each on a pair of a qubit in the first block and a qubit in the second block, applying a Hadamard gate on each qubit in the first block, measuring the first block and the second block, and applying an n-qubit Pauli operator to the third block based on the measurement of the first block and the second block.