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Nonstabilizerness via matrix product states in the pauli basis
Nonstabilizerness, also known as “magic,” stands as a crucial resource for achieving a
potential advantage in quantum computing. Its connection to many-body physical …
potential advantage in quantum computing. Its connection to many-body physical …
Nonstabilizerness versus entanglement in matrix product states
In this paper, we investigate the relationship between entanglement and nonstabilizerness
(also known as magic) in matrix product states (MPSs). We study the relation between magic …
(also known as magic) in matrix product states (MPSs). We study the relation between magic …
Dynamical Magic Transitions in Monitored Clifford+ Circuits
The classical simulation of highly entangling quantum dynamics is conjectured to be
generically hard. Thus, recently discovered measurement-induced transitions between …
generically hard. Thus, recently discovered measurement-induced transitions between …
Many-body magic via pauli-markov chains—from criticality to gauge theories
We introduce a method to measure many-body magic in quantum systems based on a
statistical exploration of Pauli strings via Markov chains. We demonstrate that sampling such …
statistical exploration of Pauli strings via Markov chains. We demonstrate that sampling such …
Unveiling the stabilizer group of a matrix product state
We present a novel classical algorithm designed to learn the stabilizer group—namely, the
group of Pauli strings for which a state is a±1 eigenvector—of a given matrix product state …
group of Pauli strings for which a state is a±1 eigenvector—of a given matrix product state …
Critical behaviors of non-stabilizerness in quantum spin chains
PS Tarabunga - Quantum, 2024 - quantum-journal.org
Non-stabilizerness–commonly known as magic–measures the extent to which a quantum
state deviates from stabilizer states and is a fundamental resource for achieving universal …
state deviates from stabilizer states and is a fundamental resource for achieving universal …
Entanglement phases, localization, and multifractality of monitored free fermions in two dimensions
We investigate the entanglement structure and wave function characteristics of continuously
monitored free fermions with U (1) symmetry in two spatial dimensions. By deriving the exact …
monitored free fermions with U (1) symmetry in two spatial dimensions. By deriving the exact …
Hybrid stabilizer matrix product operator
We introduce a novel hybrid approach combining tensor network methods with the stabilizer
formalism to address the challenges of simulating many-body quantum systems. By …
formalism to address the challenges of simulating many-body quantum systems. By …
Entanglement–nonstabilizerness separation in hybrid quantum circuits
Nonstabilizerness describes the distance of a quantum state to its closest stabilizer state. It is—
like entanglement—a necessary resource for a quantum advantage over classical …
like entanglement—a necessary resource for a quantum advantage over classical …
Anticoncentration and state design of random tensor networks
We investigate quantum random tensor network states in which the dimension of the bond
scales polynomially with the size of the system N. Specifically, we examine the …
scales polynomially with the size of the system N. Specifically, we examine the …