Scalable Quantum Rotation Representations via Floating-Point Envelopes
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Solution Overview
Problem
Current quantum computing systems face challenges in efficiently executing arbitrary quantum computing rotations due to limitations in hardware precision and scalability, particularly in addressing a large number of qubits and supporting complex quantum operations.
Innovation Solution
The integration of scalable representations of arbitrary quantum computing rotations within a hybrid classical-quantum processor architecture, which includes a quantum engine and a classical execution unit, allows for efficient execution of quantum instructions and qubit rotations using floating-point values and approximation methods.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If arbitrary quantum rotations are implemented with high precision using traditional methods, then rotation accuracy is improved, but hardware complexity and scalability deteriorate
Solution Approach 1:
The patent changes the parameter representation from fixed-precision binary formats to floating-point formats (single-precision and double-precision), enabling arbitrary quantum rotations to be specified with high accuracy without requiring complex hardware implementations. This parameter change allows the system to achieve rotation accuracy limited only by the floating-point precision rather than hardware constraints.
Solution Approach 2:
The patent replaces traditional quantum hardware mechanisms that would physically implement arbitrary rotation angles with a software-based floating-point representation system. Instead of requiring hardware to precisely control rotation angles through complex physical mechanisms, the system uses floating-point numbers to represent rotation parameters, substituting mechanical precision requirements with computational precision.
2Quantity of substance
If quantum systems support a large number of qubits, then computational capacity is improved, but control and measurement complexity deteriorate
Solution Approach 1:
The patent implements a universal floating-point representation system that can handle arbitrary rotation angles for any number of qubits using the same data structures and computational methods. This universal approach allows the system to scale to large numbers of qubits without requiring different control mechanisms for each qubit count, as the floating-point representation naturally accommodates any scale.
Solution Approach 2:
By changing from fixed-precision angle representations to floating-point representations, the system can efficiently manage rotation parameters for large numbers of qubits. The floating-point format allows compact representation of rotation angles even as the number of qubits increases, reducing the control complexity that would otherwise grow linearly or exponentially with system size.
3Measurement precision
If arbitrary rotation values are represented with high precision, then quantum operation accuracy is improved, but data storage requirements deteriorate
Solution Approach 1:
The patent changes the data representation from custom high-precision formats to standard floating-point formats (single-precision with approximately 7 decimal digits, double-precision with approximately 15-17 decimal digits). This parameter change achieves high rotation value precision while utilizing efficiently packed binary data structures, minimizing storage requirements compared to naive high-precision representations.
Solution Approach 2:
The patent uses standard floating-point data types that are already optimized for storage and processing in computer systems. By copying the proven efficiency of standard floating-point representations into the quantum control system, the patent achieves high precision rotation value storage without reinventing data storage mechanisms, thereby minimizing storage requirements.
Data Source
AI summary
Apparatus and method for scalable representations of arbitrary quantum computing rotations. For example, one embodiment of an apparatus comprises: a memory to store a first waveform; and a base envelope generator to implement a base envelope, the base envelope applied to the first waveform to generate a second waveform usable to cause quantum rotation of a specified angle on a target quantum bit (qubit) of a quantum processor, and wherein the base envelope is selected out of a first plurality of envelopes based one or more characteristics specific to the target qubit on which the quantum rotation is performed.