Naren Manjunath, Vieri Mattei, Apoorv Tiwari, Tyler D. Ellison • Published: 2026-03-05
We introduce group surface codes, which are a natural generalization of the $\mathbb{Z}_2$ surface code, and equivalent to quantum double models of finite groups with specific boundary conditions. We show that group surface codes can be leveraged to perform non-Clifford gates in $\mathbb{Z}_2$ surface codes, thus enabling universal computation with well-established means of performing logical Clif...
J. Durandau, C. A. Brunet, F. Schmidt-Kaler, U. Poschinger, F. Mailhot, Y. Bérubé-Lauzière • Published: 2026-03-05
An algorithm for the generation of shuttling sequences is necessary for the operation of a linear segmented ion-trap quantum computer. The present work provides an implementation of an algorithm that produces sequences proved to be optimal for circuits with a quantum Fourier transform-like structure. Such optimality was proved in previous work of our group. We first present an approach for qubit m...
Jérôme Leblanc, Olivier Nahman-Lévesque, Julien Forget, Thomas Lepage-Lévesque, Simon Verret, Alexandre Foley • Published: 2026-03-05
We present a quantum-classical hybrid implementation of the Liouvillian recursion method to compute many-body Green's functions using a quantum computer. From an approximate ground state preparation circuit, this algorithm produces the local ($r=r'$) and inter-site ($r\neq r'$) Green's functions $G_{rr'}(ω)$ by measuring observables generated recursively. We demonstrate the approach on a supercond...
James Purcell, Abhishek Rajput, Toby Cubitt • Published: 2025-02-27
Dissipative processes have long been proposed as a means of performing computational tasks on quantum computers that may be intrinsically more robust to noise. In this work, we prove two main results concerning the error-resilience capabilities of two types of dissipative algorithms: dissipative ground state preparation in the form of the dissipative quantum eigensolver (DQE), and dissipative quan...
Keith R. Fratus, Nicklas Enenkel, Sebastian Zanker, Jan-Michael Reiner, Michael Marthaler, Peter Schmitteckert • Published: 2025-08-08
The simulation of the spectra measured in nuclear magnetic resonance (NMR) spectroscopy experiments is a computationally non-trivial problem which, due to its natural interpretation as a quantum spin problem, maps in a straightforward way to a quantum computer. As such, it represents a problem for which such a device may provide some practical advantage over traditional computing methods. In order...
Patrick Birchall, Jacob Bridgeman, Christopher Dawson, Terry Farrelly, Yehua Liu, Naomi Nickerson, Mihir Pant, Sam Roberts, Karthik Seetharam, David Tuckett • Published: 2026-03-05
We introduce a new resource-efficient scheme for fault-tolerant quantum computation known as `macroscale multiplexing' (or simply `Macromux'), that utilizes scalable postselection to significantly improve the threshold of a given fault-tolerant protocol against both Pauli and erasure errors. Macromux is a hierarchical method for postselecting on constant-size space-time windows of a fault tolerant...
Qi Zhang, Biao Wu • Published: 2025-06-22
We elucidate the profound connection between physics and computation by proposing and examining the model of the non-Hermitian quantum computer (NQC). In addition to conventional quantum gates such as the Hadamard, phase, and CNOT gates, this model incorporates a non-unitary quantum gate $G$. We show that NQC is extraordinarily powerful, capable of solving not only all NP problems but also all pro...
Shubdeep Mohapatra, Yuan Liu, Eddy Z. Zhang, Huiyang Zhou • Published: 2026-03-04
Hybrid continuous-variable (CV)-discrete-variable (DV) quantum systems present a promising direction for quantum computing by combining the high dimensional encoding capabilities of qumodes with the control offered by DV qubits on the coupled qumodes. There have been exciting recent progresses on hybrid CV-DV quantum computing, including variational algorithms, error correction, compiler-level opt...
Nitay Mayo, Tal Mor, Yossi Weinstein • Published: 2026-03-04
As quantum computing hardware rapidly advances, objectively evaluating the capabilities and error rates of new processors remains a critical challenge for the field. A clear and realistic understanding of current quantum performance is essential to guide research priorities and drive meaningful progress. In this work, we apply and extend a protocol-based benchmarking methodology (presented in arXi...
Raymond P. H. Wu, Chathu Ranaweera, Sutharshan Rajasegarar, Ria Rushin Joseph, Jinho Choi, Seng W. Loke • Published: 2026-03-04
To overcome the physical limitations of scaling monolithic quantum computers, distributed quantum computing (DQC) interconnects multiple smaller-scale quantum processing units (QPUs) to form a quantum network. However, this approach introduces a critical challenge, namely the high cost of quantum communication between remote QPUs incurred by quantum state teleportation and quantum gate teleportati...