# Characterizing quantum supremacy in near-term devices

@article{Boixo2016CharacterizingQS, title={Characterizing quantum supremacy in near-term devices}, author={Sergio Boixo and Sergei V. Isakov and Vadim N. Smelyanskiy and Ryan Babbush and Nan Ding and Zhang Jiang and Michael J. Bremner and John M. Martinis and Hartmut Neven}, journal={Nature Physics}, year={2016}, volume={14}, pages={595-600} }

A critical question for quantum computing in the near future is whether quantum devices without error correction can perform a well-defined computational task beyond the capabilities of supercomputers. Such a demonstration of what is referred to as quantum supremacy requires a reliable evaluation of the resources required to solve tasks with classical approaches. Here, we propose the task of sampling from the output distribution of random quantum circuits as a demonstration of quantum supremacy…

## 703 Citations

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A massively-parallel simulation tool Rollright is developed that does not require inter-process communication (IPC) or proprietary hardware, and two ways to trade circuit fidelity for computational speedups are developed, so as to match the fidelity of a given quantum computer --- a task previously thought impossible.

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## References

SHOWING 1-10 OF 55 REFERENCES

### Complexity-Theoretic Foundations of Quantum Supremacy Experiments

- Computer ScienceComputational Complexity Conference
- 2016

General theoretical foundations are laid for how to use special-purpose quantum computers with 40--50 high-quality qubits to demonstrate "quantum supremacy": that is, a clear quantum speedup for some task, motivated by the goal of overturning the Extended Church-Turing Thesis as confidently as possible.

### Achieving quantum supremacy with sparse and noisy commuting quantum computations

- Computer Science
- 2016

It is shown that purely classical error-correction techniques can be used to design IQP circuits which remain hard to simulate classically, even in the presence of arbitrary amounts of noise of this form.

### Breaking the 49-Qubit Barrier in the Simulation of Quantum Circuits

- Physics
- 2017

With the current rate of progress in quantum computing technologies, systems with more than 50 qubits will soon become reality. Computing ideal quantum state amplitudes for devices of such and larger…

### Randomized Benchmarking of Quantum Gates

- Computer Science
- 2007

A key requirement for scalable quantum computing is that elementary quantum gates can be implemented with sufficiently low error. One method for determining the error behavior of a gate…

### Large-scale simulations of error prone quantum computation devices

- Physics, Computer Science
- 2009

This work assesses the power of error-prone quantum computation devices using largescale numerical simulations on parallel supercomputers and concludes that quantum error correction is especially well suited for the correction of operational imprecisions and systematic over-rotations.

### State preservation by repetitive error detection in a superconducting quantum circuit

- PhysicsNature
- 2015

The protection of classical states from environmental bit-flip errors is reported and the suppression of these errors with increasing system size is demonstrated, motivating further research into the many challenges associated with building a large-scale superconducting quantum computer.

### Superconducting quantum circuits at the surface code threshold for fault tolerance

- Physics, Computer ScienceNature
- 2014

The results demonstrate that Josephson quantum computing is a high-fidelity technology, with a clear path to scaling up to large-scale, fault-tolerant quantum circuits.

### Quantum computing and the entanglement frontier

- Physics, Computer Science
- 2012

This study is motivated by the observation (widely believed but unproven) that classical systems cannot simulate highly entangled quantum systems efficiently, and it hopes to hasten the day when well controlled quantum systems can perform tasks surpassing what can be done in the classical world.

### Simulation of low-depth quantum circuits as complex undirected graphical models

- Physics
- 2017

Near term quantum computers with a high quantity (around 50) and quality (around 0.995 fidelity for two-qubit gates) of qubits will approximately sample from certain probability distributions beyond…

### Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing

- Physics, Computer Science
- 2014

The results demonstrate that Josephson quantum computing is a high-fidelity technology, with a clear path to scaling up to large-scale, fault-tolerant quantum circuits.