Quantum Processing Unit Qubit Segmentation for Fourier Transform
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Solution Overview
Problem
Current quantum processors in the noisy intermediate-scale quantum (NISQ) era are not robust enough to handle algorithms of arbitrary depth due to noise sources, and the implementation of quantum Fourier transforms is hindered by the need for expensive SWAP gates.
Innovation Solution
A quantum processing unit (QPU) is designed with a specific qubit arrangement and a method for performing a quantum Fourier transform, involving a first and second qubit connected to a plurality of central qubits, and a sequence of two-qubit gates (TQGs) and swap gates to efficiently execute the transform.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If a conventional quantum processor architecture is used, then the quantum Fourier transform can be implemented, but the number of SWAP gates increases and circuit depth increases, reducing robustness against noise
Solution Approach 1:
The qubits are segmented into two distinct groups: first qubits (q0, q1) and central qubits (q2 to qN-1). This segmentation allows the quantum Fourier transform to be implemented using only native gates between these groups, eliminating the need for expensive SWAP gates and reducing circuit depth, thereby improving robustness against noise in NISQ devices.
Solution Approach 2:
The patent introduces a new dimensional arrangement where central qubits are positioned to be directly connected to both first qubits. This spatial reconfiguration enables a more efficient gate decomposition of the quantum Fourier transform, reducing the number of operations required and minimizing exposure to noise.
2Productivity
If SWAP gates are used to implement quantum Fourier transform, then the transform can be performed, but the circuit depth increases and error increases
Solution Approach 1:
By segmenting qubits into first qubits and central qubits with direct connectivity between them, the patent enables parallel execution of multiple native gates simultaneously. This segmentation strategy reduces circuit depth by eliminating sequential SWAP gate operations, thereby reducing time loss and improving productivity.
Solution Approach 2:
The patent maintains continuous useful action by performing multiple native gates in parallel without interruption from SWAP gate operations. The structured connectivity allows overlapping gate operations on different qubit pairs, eliminating idle time and maximizing computational efficiency throughout the quantum Fourier transform process.
3Reliability
If qubits are arranged in a conventional topology, then the quantum processor can operate, but the implementation of quantum algorithms becomes less robust
Solution Approach 1:
The qubit connectivity structure is segmented into two functional groups: first qubits that interface with external circuits and central qubits that perform computational operations. This segmentation creates a modular architecture where native gates can operate directly between groups, reducing the need for complex SWAP operations and improving algorithm robustness despite the structured connectivity.
Solution Approach 2:
The central qubits serve multiple functions: they act as both computational working qubits and as interfaces for native gate operations with first qubits. This multi-functionality reduces the overall device complexity by eliminating dedicated SWAP gate pathways while maintaining full quantum algorithm capability.
Data Source
AI summary
The invention relates to the field of quantum computing. The invention relates to quantum processing units with specific topologies that are adapted to perform a quantum Fourier transform. A first topology includes a plurality of central qubits that are each directly connected to a first qubit and second qubit. A second topology includes a plurality of qubits arranged in a four-degree chain. The inventions also includes methods of performing quantum Fourier transforms on both topologies.