Counterdiabatic Driving under Variational Frame Dressing

Boxi Li, Franco Nori, Felix Motzoi Counterdiabatic (CD) driving accelerates adiabatic protocols by prescribing auxiliary control fields, but often fails to map them to physically available operations. We derive a general formalism for such a mapping. We formulate CD driving in a variational dressed frame, where an unconstrained auxiliary generator reshapes the effective adiabatic problem while simultaneously forcing the applied…

Simple analytical flux-tuned iSWAP pulses for leakage suppression

Dimitrios Georgiadis, Boxi Li, Asier Galicia, Rami Barends, F.A. Cárdenas-López, Felix Motzoi Fast, high-fidelity two-qubit gates are a key requirement for fault-tolerant quantum computation. Tunable coupler architectures provide a flexible approach for implementing entangling gates through flux control with large on-off ratios, but fast flux modulation can induce diabatic transitions and population leakage to non-computational states, limiting gate performance. Here…

Quantum circuit partition as a maze: emerging percolation transition via path finding

P. Zentilini, M. Guatto, F. Preti, D. Arya, F. A. Cárdenas-López, F. Motzoi, E. Prati In quantum circuit optimization, circuit partitioning enables the optimization process to be parallelized across multiple devices. Each device is responsible for either reducing the number of selected gates or simplifying the local circuit structure. Most existing approaches to circuit partitioning are quantum-distribution-oriented and rely on…

Interaction-resolved decomposition of multi-qubit unitaries via computational-basis phases

Bora Baran, Tommaso Calarco, Matthias M. Mueller, Felix Motzoi In multi-qubit quantum control, target unitary operations are commonly specified through full-unitary target descriptions and assessed through global comparison measures. In this work, we introduce an interaction-resolved decomposition of n-qubit unitaries that provides explicit access to their many-body interaction structure through computational-basis phases collected in a diagonalizing frame. Such a frame…

Kraus map closed-form solution for general master equation dynamics

Shahrukh Chishti, Francisco Andrés Cárdenas-López, Felix Motzoi The Kraus representation of quantum channels allows for a precise emulation of the complex dynamics that take place on quantum processors, whether for benchmarking algorithms, predicting the performance of error correction and mitigation, or in the myriad other uses of compiled digital sequences. Nonetheless, starting from first principles to obtain continuous quantum master…

Time evolution of nonlinear dynamics on a quantum processor

José Diogo da Costa Jesus, Abhishek Setty, Tommaso Calarco, Dieter Jaksch, Francisco Cárdenas López, Felix Motzoi From fluid flow and transport to collective dynamics, numerical simulation of nonlinear partial differential equations underpins modern scientific computing. Extending this capability to quantum computers remains a longstanding challenge because nonlinear and non-Hermitian evolution is fundamentally incompatible with conventional Hamiltonian-based quantum simulation. Here we…

Analytical Blueprint for 99.999% Fidelity X-Gates on Present Superconducting Hardware Under Strong Driving

Jos´e Diogo Da Costa Jesus, Boxi Li , Yuan Gao, Rami Barends, Francisco Andr´es Cárdenas-López , Felix Motzoi Achieving ultrafast single-qubit gates that approach the limits set by decoherence requires operating in the strong-driving regime, where conventional semi-classical descriptions and single-leakage models break down, and multi-photon transitions emerge as dominant error channels that grow rapidly as the gate time is…

A priori Assessment of Tensor-Network Encoding for Isotropic Turbulent Flows

Massen Esmaeili, Hirad Alipanah, Robert Pinkston, Peyman Givi, Daniel Livescu, Andrew J. Daley, Dieter Jaksch, Juan José Mendoza-Arenas Tensor networks (TNs), originally developed for simulating many-body quantum systems, provide a systematic framework for approximating high-dimensional fields. This is achieved by factorizing the field into interconnected tensors with small bond dimensions, thereby restricting the correlations captured across field bipartitions. Belonging to…

Efficient Treatment of Non-Linearity in Quantum Computational Fluid Dynamics Using Hybrid Tensor Networks

Pia Siegl, Nis-Luca van Hülst, Maximilian Mandelt Buxadé, Tomohiro Hashizume, Dieter Jaksch Nonlinear terms present a fundamental challenge for quantum computational fluid dynamics, as their implementation on inherently linear quantum hardware typically requires resource-intensive workarounds that limit scalability to large-scale simulations. We present a hybrid quantum-classical tensor network algorithm that addresses this bottleneck by combining variational time-stepping with quantum tensor…
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The QCFD (Quantum Computational Fluid Dynamics) project is funded under the European Union’s Horizon Programme (HORIZON-CL4-2021-DIGITAL-EMERGING-02-10), Grant Agreement 101080085 QCFD.