Ulises Pastor-Díaz, José M. Tornero • Published: 2026-04-01
In the context of finite Abelian groups two problems are presented and solved using quantum computing techniques. The first is the well--known Hidden Subgroup Problem, originally solved by Simon in a landmark work. The second is the Fully Balanced Image Problem, originally introduced by the authors (joint with J. Ossorio--Castillo), which is related to a certain class of mappings (which contains s...
Jonas Winklmann, Yian Yu, Xiaorang Guo, Korbinian Staudacher, Martin Schulz • Published: 2026-04-01
Neutral atom quantum computers (NAQCs) are among the most promising computational platforms for quantum computing. Controlling and measuring individual atoms and their states, which often requires multiple imaging and image-analysis procedures, is typically the most time-consuming task during computation and contributes significantly to overall cycle times. To resolve this challenge, we propose a ...
G. X. A. Petronilo, M. R. Araújo, A. B. M. Souza, Clebson Cruz • Published: 2026-04-01
Quantum computing has attracted the attention of the scientific community in the past few decades. However, despite some relevant advantages, near-term quantum devices remain severely limited by thermal effects, which induce decoherence and restrict coherent control at finite temperature. In this regard, this work reports a gate-based quantum algorithm that prepares the finite-temperature vacuum o...
Florence Paquette, Tania Belabbas, Emmanuel Hamel, Anne MacKay • Published: 2026-04-01
We develop a quantum algorithm to price discretely monitored lookback options in the Black-Scholes framework using imaginary time evolution. By rewriting the pricing PDE as a Schrodinger-type equation, the problem becomes the imaginary time evolution of a quantum state under a non-Hermitian Hamiltonian. This evolution is approximated with the Variational Quantum imaginary time evolution (VarQITE) ...
Peng Guo, Paul LeVan, Frank X. Lee, Yong Zhao • Published: 2026-03-31
To overcome the fast oscillatory behavior of correlation functions for extracting scattering phase shift in real-time quantum simulations encountered in Ref.\cite{Guo:2026qkx}, we propose and test two solutions in the present work. One is to simulate Hermitian systems in imaginary time, the other is to simulate non-Hermitian systems in real time. We demonstrate that both approaches lead to the pro...
Jaroslav Kysela, Katharina Ludwig, Nitica Sakharwade, Anette Messinger, Wolfgang Lechner • Published: 2026-03-31
We define the class of register-logic graphs and prove that any uniformly deterministic measurement-based quantum computation (MBQC) where the inputs coincide with the outputs must be driven on such graphs by measurements in the $YZ$ plane of the Bloch sphere. This observation is revisited in the context that goes beyond uniform determinism, where we present a universal $YZ$-plane-only measurement...
Cédrick Perron, Yves Bérubé-Lauzière, Victor Drouin-Touchette • Published: 2026-03-30
Neutral atom quantum computers (NAQCs) have emerged as a promising platform for solving the maximum weighted independent set (MWIS) problem. However, analog quantum approaches face two key limitations: constraints of the atomic layout on realizable graph geometries and the absence of performance guarantees. We introduce Lp-Quts, a hybrid quantum-classical framework that integrates an NAQC sampler ...
Jędrzej Burkat, Sergii Strelchuk, Michał Studziński • Published: 2026-03-30
We introduce Exchange Quantum Polynomial Time (XQP) circuits, which comprise quantum computation using only computational basis SPAM and the isotropic Heisenberg exchange interaction. Structurally, this sub-universal model captures decoherence-free subspace computation without access to singlet states. We show that XQP occupies an intermediate position between BPP and BQP, as its efficient multipl...
Zhengyan Darius Shi, Zhaoyu Han, Srinivas Raghu, Ashvin Vishwanath • Published: 2026-02-06
Topological superconductors (TSCs) provide a promising route to fault-tolerant quantum information processing. However, the canonical Majorana platform based on $2e$ TSCs remains computationally constrained. In this work, we find a $4e$ TSC that overcomes these constraints by combining a charge-$4e$ condensate with an Abelian chiral $\mathbb{Z}_3$ topological order in an intertwined fashion. Remar...
Nitay Mayo, Tal Mor, Yossi Weinstein • Published: 2026-03-28
Superconducting and Ion-Trap quantum architectures are common in the current landscape of the quantum computing field, each with distinct characteristics and operational constraints. Understanding and measuring the underlying quantumness of these devices is essential for assessing their readiness for practical applications and guiding future progress and research. Building on earlier work (Meirom,...