Papers

J. Fujisaki, H. Oshima, S. Sato +1 more·Mar 29, 2022

Quantum error correction is one of the most important milestones for realization of large-scale quantum computation. To achieve this, it is essential not only to integrate a large number of qubits with high fidelity, but also to build a scalable clas...

N. Harle, O. Shtanko, R. Movassagh·Mar 28, 2022

Electrons are indivisible elementary particles, yet paradoxically a collection of them can act as a fraction of a single electron, exhibiting exotic and useful properties. One such collective excitation, known as a topological Majorana mode, is natur...

Paul Kairys, T. Humble·Mar 23, 2022

Utilizing optimal control to simulate a model Hamiltonian is an emerging strategy that leverages the intrinsic physics of a device with digital quantum simulation methods. Here we evaluate optimal control for probing the non-equilibrium properties of...

John P. T. Stenger, G. Ben-Shach, D. Pekker +1 more·Feb 25, 2022

We present a novel method for solving eigenvalue problems on a quantum computer based on spectroscopy. The method works by coupling a"probe"qubit to a set of system simulation qubits and then time evolving both the probe and the system under Hamilton...

Bernardo Ameneyro, V. Maroulas, G. Siopsis·Feb 25, 2022

Persistent homology is a powerful mathematical tool that summarizes useful information about the shape of data allowing one to detect persistent topological features while one adjusts the resolution. However, the computation of such topological featu...

A. Paetznick, Christina Knapp, Nicolas Delfosse +4 more·Feb 23, 2022

Quantum error correction is crucial for any quantum computing platform to achieve truly scalable quantum computation. The surface code and its variants have been considered the most promising quantum error correction scheme due to their high threshol...

Yaping Yuan, Chung-Chin Lu·Feb 23, 2022

A quantum surface code is a quantum topological stabilizer code whose stabilizers and qubits are geometrically related. Due to their special structures, surface codes have great potential to be implemented in large-scale quantum computing systems. In...

Quancheng Liu, D. Kessler, E. Barkai·Feb 8, 2022

Quantum walks underlie an important class of quantum computing algorithms, and represent promising approaches in various simulations and practical applications. Here we design stroboscopically monitored quantum walks and their subsequent graphs that ...

Bing Yao, Jing Su, Fei Ma +2 more·Feb 8, 2022

Making topological authentication from theory to practical application is an important and challenging task. More and more researchers pay attention on coming quantum computation, privacy data protection, lattices and cryptography. Research show the ...

K. Okada, Keita Osaki, K. Mitarai +1 more·Feb 7, 2022

Variational quantum eigensolver (VQE) is regarded as a promising candidate of hybrid quantum-classical algorithm for the near-term quantum computers. Meanwhile, VQE is confronted with a challenge that statistical error associated with the measurement...

Iordanis Kerenidis, A. Prakash·Jan 31, 2022

We introduce a new approach for quantum linear algebra based on quantum subspace states and present three new quantum machine learning algorithms. The first is a quantum determinant sampling algorithm that samples from the distribution $\Pr[S]= det(X...

B. Yao, Fei Ma·Jan 31, 2022

In order to make more complex number-based strings from topological coding for defending against the intelligent attacks equipped with quantum computing and providing effective protection technology for the age of quantum computing, we will introduce...

Matej Pivoluska, Martin Plesch·Jan 26, 2022

Advances in development of quantum computing processors brought ample opportunities to test the performance of various quantum algorithms with practical implementations. In this paper we report on implementations of quantum compression algorithm that...

A. Chapman, S. Flammia, Alicia J. Kollár·Jan 18, 2022

We consider quantum error-correcting subsystem codes whose gauge generators realize a translationinvariant, free-fermion-solvable spin model. In this setting, errors are suppressed by a Hamiltonian whose terms are the gauge generators of the code and...

Adrian D. Scheppe, M. V. Pak·Jan 12, 2022

Among the list of major threats to quantum computation, quantum decoherence poses one of the largest because it generates losses to the environment within a computational system which cannot be recovered via error correction methods. These methods re...

Zidu Liu, Pei-Xin Shen, Weikang Li +2 more·Jan 5, 2022

Capsule networks (CapsNets), which incorporate the paradigms of connectionism and symbolism, have brought fresh insights into artificial intelligence (AI). The capsule, as the building block of CapsNets, is a group of neurons represented by a vector ...

Luca Lumia, Pietro Torta, G. Mbeng +4 more·Dec 22, 2021

We propose an implementation of a two-dimensional $\mathbb{Z}_2$ lattice gauge theory model on a shallow quantum circuit, involving a number of single and two-qubits gates comparable to what can be achieved with present-day and near-future technologi...

Pedro Parrado-Rodríguez, M. Rispler, Markus P. Müller·Dec 17, 2021

Fault-tolerant quantum computation relies on scaling up quantum error correcting codes in order to suppress the error rate on the encoded quantum states. Topological codes, such as the surface code or color codes are leading candidates for practical ...

Dongsheng Wang·Dec 17, 2021

A modern computer system, based on the von Neumann architecture, is a complicated system with several interactive modular parts. It requires a thorough understanding of the physics of information storage, processing, protection, readout, etc. Quantum...

Hao Song, Janik Schönmeier-Kromer, Ke Liu +3 more·Dec 9, 2021

Fracton models provide examples of novel gapped quantum phases of matter that host intrinsically immobile excitations and therefore lie beyond the conventional notion of topological order. Here, we calculate optimal error thresholds for quantum error...