Decoherence of the color code produces a mixed state with topological entanglement negativity ln 2 that corresponds to an emergent single toric code.
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A discrete phase-space path integral is constructed for finite quantum mechanics, reducing to classical deterministic flow for linear Hamiltonians while requiring all fluctuation sectors to capture entanglement dynamics in qutrit systems.
Energy and heat measurements provide witnesses that certify quantum magic without full state tomography.
Efficient algorithms compute stabilizer Rényi entropy and mana for quantum states from vectors at O(N d^{2N}) cost using fast Hadamard transform, with open-source implementation.
A subclass of Goldilocks QCA including the experimentally implemented one are integrable by mapping to free fermions, with local conserved quantities computed for hardware testing.
An algorithm leveraging the Clifford group and graph representation to find symmetries in many-body Hamiltonians, demonstrated on random and physical instances up to 1000 qubits.
Higher moments of entanglement entropy distribution in hybrid quantum circuits distinguish measurement-induced phases and are captured by a phenomenological model for area-law combined with directed polymer description for volume-law.
Phase stripping reduces target-state magic to enable O(poly(n)) or O(1) sample fidelity estimation for phase-dominated states using a single fan-out gate plus nonlinear Pauli post-processing.
A systematic graph-state protocol yields a family of [[n,1,3]] non-CSS codes that preserve bare-ancilla fault tolerance against hook errors and includes one code with higher rate than prior examples under depolarizing noise.
LC-inequivalent graph-state blocks in random Clifford circuits yield distinct entanglement velocities v_E and butterfly velocities v_B, correlated with internal entanglement distribution and graph connectivity.
citing papers explorer
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Decohered color code and emerging mixed toric code by anyon proliferation: Topological entanglement negativity perspective
Decoherence of the color code produces a mixed state with topological entanglement negativity ln 2 that corresponds to an emergent single toric code.
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Path integral formulation of finite-dimensional quantum mechanics in discrete phase space
A discrete phase-space path integral is constructed for finite quantum mechanics, reducing to classical deterministic flow for linear Hamiltonians while requiring all fluctuation sectors to capture entanglement dynamics in qutrit systems.
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Every Little Thing Heat Does Is Magic
Energy and heat measurements provide witnesses that certify quantum magic without full state tomography.
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Computing quantum magic of state vectors
Efficient algorithms compute stabilizer Rényi entropy and mana for quantum states from vectors at O(N d^{2N}) cost using fast Hadamard transform, with open-source implementation.
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Integrability of Goldilocks quantum cellular automata
A subclass of Goldilocks QCA including the experimentally implemented one are integrable by mapping to free fermions, with local conserved quantities computed for hardware testing.
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Clifford symmetries in quantum many-body systems
An algorithm leveraging the Clifford group and graph representation to find symmetries in many-body Hamiltonians, demonstrated on random and physical instances up to 1000 qubits.
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On the Entanglement Entropy Distribution of a Hybrid Quantum Circuit
Higher moments of entanglement entropy distribution in hybrid quantum circuits distinguish measurement-induced phases and are captured by a phenomenological model for area-law combined with directed polymer description for volume-law.
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Sample- and Hardware-Efficient Fidelity Estimation by Stripping Phase-Dominated Magic
Phase stripping reduces target-state magic to enable O(poly(n)) or O(1) sample fidelity estimation for phase-dominated states using a single fan-out gate plus nonlinear Pauli post-processing.
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Fault-tolerant syndrome extraction in [[n,1,3]] non-CSS code family generated using measurements on graph states
A systematic graph-state protocol yields a family of [[n,1,3]] non-CSS codes that preserve bare-ancilla fault tolerance against hook errors and includes one code with higher rate than prior examples under depolarizing noise.
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Graph-State Circuit Blocks control Entanglement and Scrambling Velocities
LC-inequivalent graph-state blocks in random Clifford circuits yield distinct entanglement velocities v_E and butterfly velocities v_B, correlated with internal entanglement distribution and graph connectivity.