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Simulating the Sycamore quantum supremacy circuits

Feng Pan, +1 more
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TLDR
In this paper, a tensor network method for simulating quantum circuits is proposed, which is massively more efficient in computing a large number of correlated bitstring amplitudes and probabilities than existing methods.
Abstract
We propose a general tensor network method for simulating quantum circuits. The method is massively more efficient in computing a large number of correlated bitstring amplitudes and probabilities than existing methods. As an application, we study the sampling problem of Google's Sycamore circuits, which are believed to be beyond the reach of classical supercomputers and have been used to demonstrate quantum supremacy. Using our method, employing a small computational cluster containing 60 graphical processing units (GPUs), we have generated one million correlated bitstrings with some entries fixed, from the Sycamore circuit with 53 qubits and 20 cycles, with linear cross-entropy benchmark (XEB) fidelity equals 0.739, which is much higher than those in Google's quantum supremacy experiments.

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Proceedings ArticleDOI

Closing the "Quantum Supremacy" Gap: Achieving Real-Time Simulation of a Random Quantum Circuit Using a New Sunway Supercomputer

TL;DR: In this paper, a tensor-based simulator for random quantum circuits (RQCs) on the new Sunway supercomputer was developed, which achieved a sustained performance of 1.2 Eflops (single-precision) or 4.4 EFLops (mixed-precision) with a new milestone for classical simulation of quantum circuits.
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The Argument against Quantum Computers, the Quantum Laws of Nature, and Google's Supremacy Claims.

Gil Kalai
TL;DR: A computational complexity argument against the feasibility of quantum computers was described, which identified a very low-level complexity class of probability distributions described by noisy intermediate-scale quantum computers, and explained why it would allow neither good-quality quantum error-correction nor a demonstration of "quantum supremacy".
Posted Content

Statistical Aspects of the Quantum Supremacy Demonstration

TL;DR: The relations between quantum computing and some of the statistical aspects involved in demonstrating quantum supremacy are explained in terms that are accessible to statisticians, computer scientists, and mathematicians.
Posted Content

Tensor Network Quantum Virtual Machine for Simulating Quantum Circuits at Exascale

TL;DR: A modernized version of the Tensor Network Quantum Virtual Machine (TNQVM) which serves as a quantum circuit simulation backend in the eXtreme-scale ACCelerator (XACC) framework, and introduces an end-to-end virtual quantum development environment which can scale from laptops to future exascale platforms.
References
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Characterizing quantum supremacy in near-term devices

TL;DR: In this paper, the authors proposed the task of sampling from the output distribution of random quantum circuits as a demonstration of quantum supremacy and showed that this sampling task must take exponential time in a classical computer.
Journal ArticleDOI

Simulating Quantum Computation by Contracting Tensor Networks

TL;DR: It is proved that a quantum circuit with T gates whose underlying graph has a treewidth d can be simulated deterministically in T^{O(1)}\exp[O(d)]$ time, which, in particular, is polynomial in $T$ if d=O(\log T)$.
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