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ACM SIGARCH Computer Architecture News

A program transformation and architecture support for quantum uncomputation

Ethan Schuchman, T. N. Vijaykumar

Published Oct 20, 2006• 1 citation
Publisher

Abstract

Quantum computing's power comes from new algorithms that exploit quantum mechanical phenomena for computation. Quantum algorithms are different from their classical counterparts in that quantum algorithms rely on algorithmic structures that are simply not present in classical computing. Just as classical program transformations and architectures have been designed for common classical algorithm structures, quantum program transformations and quantum architectures should be designed with quantum algorithms in mind. Because quantum algorithms come with these new algorithmic structures, resultant quantum program transformations and architectures may look very different from their classical counterparts.This paper focuses on uncomputation, a critical and prevalent structure in quantum algorithms, and considers how program transformations, and architecture support should be designed to accommodate uncomputation. In this paper,we show a simple quantum program transformation that exposes independence between uncomputation and later computation. We then propose a multicore architecture tailored to this exposed parallelism and propose a scheduling policy that efficiently maps such parallelism to the multicore architecture. Our policy achieves parallelism between uncomputation and later computation while reducing cumulative communication distance. Our scheduling and architecture allows significant speedup of quantum programs (between 1.8x and 2.8x speedup in Shor's factoring algorithm), while reducing cumulative communication distance 26%.

DOI
10.1145/1168919.1168889

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A program transformation and architecture support for quantum uncomputation

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Quantum computing's power comes from new algorithms that exploit quantum mechanical phenomena for computation. Quantum algorithms are different from their classical counterparts in that quantum algorithms rely on algorithmic structures that are simply not present in classical computing. Just as classical program transformations and architectures have been designed for common classical algorithm structures, quantum program transformations and quantum architectures should be designed with quantum algorithms in mind. Because quantum algorithms come with these new algorithmic structures, resultant quantum program transformations and architectures may look very different from their classical counterparts.This paper focuses on uncomputation, a critical and prevalent structure in quantum algorithms, and considers how program transformations, and architecture support should be designed to accommodate uncomputation. In this paper,we show a simple quantum program transformation that exposes independence between uncomputation and later computation. We then propose a multicore architecture tailored to this exposed parallelism and propose a scheduling policy that efficiently maps such parallelism to the multicore architecture. Our policy achieves parallelism between uncomputation and later computation while reducing cumulative communication distance. Our scheduling and architecture allows significant speedup of quantum programs (between 1.8x and 2.8x speedup in Shor's factoring algorithm), while reducing cumulative communication distance 26%.
Quantum computing's power comes from new algorithms that exploit quantum mechanical phenomena for computation. Quantum algorithms are different from their classical counterparts in that quantum algorithms rely on algorithmic structures that are simply not present in classical computing. Just as classical program transformations and architectures have been designed for common classical algorithm structures, quantum program transformations and quantum architectures should be designed with quantum algorithms in mind. Because quantum algorithms come with these new algorithmic structures, resultant quantum program transformations and architectures may look very different from their classical counterparts.This paper focuses on uncomputation, a critical and prevalent structure in quantum algorithms, and considers how program transformations, and architecture support should be designed to accommodate uncomputation. In this paper,we show a simple quantum program transformation that exposes independence between uncomputation and later computation. We then propose a multicore architecture tailored to this exposed parallelism and propose a scheduling policy that efficiently maps such parallelism to the multicore architecture. Our policy achieves parallelism between uncomputation and later computation while reducing cumulative communication distance. Our scheduling and architecture allows significant speedup of quantum programs (between 1.8x and 2.8x speedup in Shor's factoring algorithm), while reducing cumulative communication distance 26%.
Quantum computing's power comes from new algorithms that exploit quantum mechanical phenomena for computation. Quantum algorithms are different from their classical counterparts in that quantum algorithms rely on algorithmic structures that are simply not present in classical computing. Just as classical program transformations and architectures have been designed for common classical algorithm structures, quantum program transformations and quantum architectures should be designed with quantum algorithms in mind. Because quantum algorithms come with these new algorithmic structures, resultant quantum program transformations and architectures may look very different from their classical counterparts.This paper focuses on uncomputation, a critical and prevalent structure in quantum algorithms, and considers how program transformations, and architecture support should be designed to accommodate uncomputation. In this paper,we show a simple quantum program transformation that exposes independence between uncomputation and later computation. We then propose a multicore architecture tailored to this exposed parallelism and propose a scheduling policy that efficiently maps such parallelism to the multicore architecture. Our policy achieves parallelism between uncomputation and later computation while reducing cumulative communication distance. Our scheduling and architecture allows significant speedup of quantum programs (between 1.8x and 2.8x speedup in Shor's factoring algorithm), while reducing cumulative communication distance 26%.
Quantum computing's power comes from new algorithms that exploit quantum mechanical phenomena for computation. Quantum algorithms are different from their classical counterparts in that quantum algorithms rely on algorithmic structures that are simply not present in classical computing. Just as classical program transformations and architectures have been designed for common classical algorithm structures, quantum program transformations and quantum architectures should be designed with quantum algorithms in mind. Because quantum algorithms come with these new algorithmic structures, resultant quantum program transformations and architectures may look very different from their classical counterparts.This paper focuses on uncomputation, a critical and prevalent structure in quantum algorithms, and considers how program transformations, and architecture support should be designed to accommodate uncomputation. In this paper,we show a simple quantum program transformation that exposes independence between uncomputation and later computation. We then propose a multicore architecture tailored to this exposed parallelism and propose a scheduling policy that efficiently maps such parallelism to the multicore architecture. Our policy achieves parallelism between uncomputation and later computation while reducing cumulative communication distance. Our scheduling and architecture allows significant speedup of quantum programs (between 1.8x and 2.8x speedup in Shor's factoring algorithm), while reducing cumulative communication distance 26%.
This paper proposes a novel parallel computing architecture fundamentally based on the principle of quantum state superposition. Traditional parallel computing relies on classical methods, often limited by the sequential nature of operations and the constraints of multiple processors. This architecture leverages the inherent ability of quantum systems to exist in multiple states simultaneously, offering a potential paradigm shift in computational efficiency. The core concept involves designing a system where multiple quantum computations can be executed concurrently, drastically reducing processing time for suitable algorithms. This paper details the architecture, outlines the key mathematical foundations, and explores the theoretical advantages of this approach. We present a framework for utilizing superposition to achieve parallelism, focusing on the manipulation of quantum states to represent and process multiple inputs or operations simultaneously. The potential impact of this architecture on various computational domains is discussed, highlighting areas where superposition-based parallelism could offer significant performance gains. The theoretical analysis demonstrates the potential for exponential speedups under certain conditions, contingent on the algorithm's suitability for superposition-based execution. Further research and development are needed to translate this architectural concept into a practical and scalable implementation.
The topic of this dissertation stands at the crossroads of two emerging technologies: highly-parallel computing and quantum computing. Both seek to go beyond the limits of current computing practice: in the absence of further miniaturization, highly-parallel computing seeks to increase the available computer power substantially. Quantum Computing looks beyond the classical approach to computation, leveraging quantum-mechanical effects to increase computing power in a fundamental way. In the absence and also in the presence of actual quantum computers it is crucial to support the development of quantum computer applications by creating an appropriate software framework. Creating such a framework currently faces two major research challenges. First, one needs to separate the realization of the quantum computer from the software running on it, whether it is an actual physical or a simulated realization. Our first contribution lies with defining a layered software architecture, ranging from a design tool at the higher abstraction levels to a simulated execution layer underneath. At its core sits a ‘Quantum Virtual Machine’ using the Measurement Calculus as the underlying quantum computational model. Such a virtual machine layer makes the application developed on top of it oblivious to how it is executed. The simulated execution of this quantum virtual machine is fundamentally a computationally intensive task. Parallel computing offers a way to throw more computational resources at the problem, in the light of the saturation of sequential performance of current computers. Simulation is the domain of the second challenge, as it has very high performance requirements. The simulation problem thus becomes: how does one expose the inherent parallelism of quantum computing simulation in a fundamental way, so as to be usable for the highly-parallel computers to come? Our second contribution is to provide a formal translation of quantum programs to highly-parallel dataflow computations, and to develop a virtual environment that compiles and executes such programs. This work demonstrates several properties of both the formal as well as the virtual level of computation that validate our approach.
Current monolithic quantum computer architectures have limited scalability. One promising approach for scaling them up is to use a modular or multi-core architecture, in which different quantum processors (cores) are connected via quantum and classical links. This new architectural design poses new challenges such as the expensive inter-core communication. To reduce these movements when executing a quantum algorithm, an efficient mapping technique is required. In this paper, a detailed critical discussion of the quantum circuit mapping problem for multi-core quantum computing architectures is provided. In addition, we further explore the performance of a mapping method, which is formulated as a partitioning over time graph problem, by performing an architectural scalability analysis.