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qHiPSTER: The Quantum High Performance Software Testing Environment (1601.07195v2)

Published 26 Jan 2016 in quant-ph and cs.DC

Abstract: We present qHiPSTER, the Quantum High Performance Software Testing Environment. qHiPSTER is a distributed high-performance implementation of a quantum simulator on a classical computer, that can simulate general single-qubit gates and two-qubit controlled gates. We perform a number of single- and multi-node optimizations, including vectorization, multi-threading, cache blocking, as well as overlapping computation with communication. Using the TACC Stampede supercomputer, we simulate quantum circuits ("quantum software") of up to 40 qubits. We carry out a detailed performance analysis to show that our simulator achieves both high performance and high hardware efficiency, limited only by the sustainable memory and network bandwidth of the machine.

Citations (162)

Summary

  • The paper introduces qHiPSTER, a high-performance software environment for distributed quantum circuit simulation on classical supercomputers that overcomes single-node memory limitations.
  • qHiPSTER utilizes multi-node optimizations like vectorization, multi-threading, and communication overlap to efficiently simulate quantum systems up to 40 qubits on supercomputers like TACC Stampede.
  • The software demonstrates near memory-bound performance for single-qubit gates but experiences scalability challenges for controlled gates on larger configurations due to network bandwidth constraints.

Evaluation of qHiPSTER: A Quantum High-Performance Software Testing Environment

The paper presents qHiPSTER, an advanced quantum simulation tool capable of performing high-performance distributed quantum simulations on classical computing architectures. The software environment is designed to simulate quantum circuits—often referred to as "quantum software"—encompassing both single-qubit gates and two-qubit controlled gates. Utilizing the TACC Stampede supercomputer, qHiPSTER efficiently simulates quantum systems of up to 40 qubits, achieving impressive levels of hardware efficiency. This capability is enhanced through a series of improvements, including multi-node optimization techniques such as vectorization, multi-threading, and communication overlap.

Architecture and Implementation

qHiPSTER is developed to leverage distributed computation capabilities, allowing it to handle simulations that exceed the limitations of single-node quantum simulators constrained by memory capacity. This includes the implementation of single-qubit gates and two-qubit controlled operations using unitary transformations that directly manipulate the state vector. The state vector, which grows exponentially with each additional qubit, is optimally distributed across the supercomputer nodes. Importantly, the authors utilize cache-blocking techniques and gate fusion to reduce memory and network bandwidth constraints, streamlining operations by exploiting high-efficiency registers and advanced memory hierarchy designs.

Performance and Scalability

The performance analysis focuses on single-node optimization and distributed computations across several nodes. Crucially, qHiPSTER achieves near memory-bound performance for single-qubit operations, justified by lower bound calculations. In contrast, controlled gate operations experience variable performance contingent upon the control qubit's position—a consequence of hardware prefetch inefficiencies at lower numbered qubits.

Distribution efficiency is critically evaluated against prominent HPC systems on the TOP500 list. On multi-node configurations such as those offered by Stampede, strong scaling is demonstrated with almost linear improvements for systems requiring minimal inter-node communication. However, scalability diminishes when network bandwidth becomes the bottleneck, particularly in quantum operations on higher order qubits. Despite qHiPSTER's sophisticated communication approach, network contention within shared multi-level topologies poses a significant challenge, creating latency especially pronounced in larger configurations.

Insights and Future Developments

The paper underscores qHiPSTER's utility in quantum algorithm simulations by evaluating algorithms like the Quantum Fourier Transform (QFT), which are central to quantum computing research. On the Stampede infrastructure, the QFT's performance aligns closely with theoretical bounds up to configurations of 40 qubits, indicating a carefully harnessed hardware capability.

Futuristically, improvements in memory bandwidth with high-bandwidth memory (HBM) and infrastructural advancements like Exascale computing will further aid in overcoming qHiPSTER's current limitations. Exploration into state reordering techniques and communication-avoidant approaches could resolve network bottlenecks, thus expanding the feasible scope of quantum simulations beyond 49 qubits, contingent on such hardware progression.

In conclusion, qHiPSTER solidifies itself as a potent tool for quantum circuit evaluation, bridging classical computational power with quantum logic processes. This aligns well with ongoing theoretical pursuits and the prospective evolution of the quantum computational landscape.