Proves unique stationary law for Clifford random monitored quantum circuits and computes leading asymptotics of steady magic, linear for odd-prime dimension mana and quadratic for qubit 2-stabilizer Rényi entropy.
Contextuality supplies the `magic' for quantum computation , url =
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Under local amplitude damping the n-qubit GHZ family loses entanglement at damping strength γ_e but regains magic at γ_+ satisfying γ_e + γ_+ = 1 for every n, with the reborn magic residing in a fully separable state.
Hermitian weighted graphs enable universal exact realization of arbitrary complex QL-bits as real-spectrum eigenstates, with discrete {0, ±1, ±i} couplings dense in the state space.
Most symmetric separable states with conserved charge N are not symmetrically separable, with number entanglement showing Gaussian concentration around a strictly positive value.
A Spekkens contextual system of odd-dimensional stabilizer plus magic state becomes noncontextual under depolarizing decoherence past a threshold, with quasiprobability representations differing in how well they detect the shift.
Kochen-Specker contextuality generalizes nonclassicality while Spekkens' noncontextuality generalizes classicality, reconciling the two as successive stages in a hierarchy of classicality.
citing papers explorer
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Invariant Measures and Weak-Magic-Injection Asymptotics in Random Monitored Quantum Circuits
Proves unique stationary law for Clifford random monitored quantum circuits and computes leading asymptotics of steady magic, linear for odd-prime dimension mana and quadratic for qubit 2-stabilizer Rényi entropy.
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Sudden death of entanglement, rebirth of magic
Under local amplitude damping the n-qubit GHZ family loses entanglement at damping strength γ_e but regains magic at γ_+ satisfying γ_e + γ_+ = 1 for every n, with the reborn magic residing in a fully separable state.
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Universal Complex Quantum-Like Bits from Hermitian Weighted Graphs
Hermitian weighted graphs enable universal exact realization of arbitrary complex QL-bits as real-spectrum eigenstates, with discrete {0, ±1, ±i} couplings dense in the state space.
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The typicality of symmetry-induced entanglement
Most symmetric separable states with conserved charge N are not symmetrically separable, with number entanglement showing Gaussian concentration around a strictly positive value.
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Classical Limit: Dissipation of Spekkens' Generalised Contextuality under Decoherence
A Spekkens contextual system of odd-dimensional stabilizer plus magic state becomes noncontextual under depolarizing decoherence past a threshold, with quasiprobability representations differing in how well they detect the shift.
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Warring Contextualities -- Provably Classical vs Provably Nonclassical
Kochen-Specker contextuality generalizes nonclassicality while Spekkens' noncontextuality generalizes classicality, reconciling the two as successive stages in a hierarchy of classicality.
- The Quad-$C_5$ Graph: Maximum Contextuality Gap on Eight Vertices