Unifying spacetime approaches to quantum mechanics

Recent efforts to formulate quantum mechanics in a way that treats space and time on a more equal footing have led to a large variety of spacetime-oriented approaches. In this work we present a detail...

arxiv.org

The commutant of fermionic Gaussian unitaries

In this work, we characterize the $t$-th order commutants of fermionic Gaussian unitaries and of their particle-preserving subgroup acting on $n$ fermionic modes. These commutants govern Haar averages...

arxiv.org

Group Fourier filtering of quantum resources in quantum phase space

Recently, it has been shown that group Fourier analysis of quantum states, i.e., decomposing them into the irreducible representations (irreps) of a symmetry group, enables new ways to characterize th...

arxiv.org

Quantum Computing and Early Fault-Tolerant Simulations at Los Alamos National Laboratory

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Parallel-in-time quantum simulation via Page and Wootters quantum time

In the past few decades, researchers have created a veritable zoo of quantum algorithms by drawing inspiration from classical computing, information theory, and even from physical phenomena. Here, we ...

journals.aps.org

Does provable absence of barren plateaus imply classical simulability? - Nature Communications

There has been growing evidence that strategies to circumvent the barren plateau problem in variational quantum computing might also kill potential quantum advantages. In this Perspective, the authors...

nature.com

Characterizing quantum resourcefulness via group-Fourier decompositions

In this work we present a general framework for studying the resourcefulness in pure states for quantum resource theories (QRTs) whose free operations arise from the unitary representation of a group....

arxiv.org

A unified approach to quantum resource theories and a new class of free operations

In quantum resource theories (QRTs) certain quantum states and operations are deemed more valuable than others. While the determination of the ``free'' elements is usually guided by the constraints of...

arxiv.org

Characterizing quantum resourcefulness via group-Fourier decompositions

In this work we present a general framework for studying the resourcefulness in pure states for quantum resource theories (QRTs) whose free operations arise from the unitary representation of a group....

arxiv.org

Optimal Haar random fermionic linear optics circuits

Sampling unitary Fermionic Linear Optics (FLO), or matchgate circuits, has become a fundamental tool in quantum information. Such capability enables a large number of applications ranging from randomi...

arxiv.org