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[PDF][PDF] Bridging magic and non-gaussian resources via gottesman-kitaev-preskill encoding
Although the similarity between nonstabilizer states—also known as magic states—in
discrete-variable systems and non-Gaussian states in continuous-variable systems has …
discrete-variable systems and non-Gaussian states in continuous-variable systems has …
Complexity of quantum circuits via sensitivity, magic, and coherence
Quantum circuit complexity—a measure of the minimum number of gates needed to
implement a given unitary transformation—is a fundamental concept in quantum …
implement a given unitary transformation—is a fundamental concept in quantum …
Extremality of stabilizer states
We investigate the extremality of stabilizer states to reveal their exceptional role in the space
of all $ n $-qubit/qudit states. We establish uncertainty principles for the characteristic …
of all $ n $-qubit/qudit states. We establish uncertainty principles for the characteristic …
Magic class and the convolution group
The classification of many-body quantum states plays a fundamental role in the study of
quantum phases of matter. In this work, we propose an approach to classify quantum states …
quantum phases of matter. In this work, we propose an approach to classify quantum states …
Fermionic Gaussian Testing and Non-Gaussian Measures via Convolution
We define fermionic convolution and demonstrate its utility in characterizing fermionic non-
Gaussian components, which are essential to the computational advantage of fermionic …
Gaussian components, which are essential to the computational advantage of fermionic …
Displaced Fermionic Gaussian States and their Classical Simulation
This work explores displaced fermionic Gaussian operators with nonzero linear terms. We
first demonstrate equivalence between several characterizations of displaced Gaussian …
first demonstrate equivalence between several characterizations of displaced Gaussian …