No-cloning theorem for quantum ensembles established information-theoretically, with circumvention for finite evolutions but proven computational intractability.
arXiv preprint arXiv:2410.17718 , year=
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A reduction from weak agnostic learning of class C to efficient tomography of states with bounded l1-extent w.r.t. C, with a concrete algorithm for stabilizer states running in poly(n, (ξ/ε)^log(ξ/ε)) time.
CBNE enables estimation of nonlinear quantum properties such as higher-order expectations from a single randomized measurement setting under sufficient system dimension or ancillary qubits.
Embedding experimental quantum states into high-distance codes enables exponential speedups in fault-tolerant shadow tomography and cubic observable estimation over unencoded adaptive strategies.
Efficient witnesses and testing algorithms based on stabilizer Rényi entropy certify and quantify magic in mixed states, with experimental demonstration on IonQ hardware showing robustness under strong noise.
citing papers explorer
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No Cloning of Quantum Ensembles
No-cloning theorem for quantum ensembles established information-theoretically, with circumvention for finite evolutions but proven computational intractability.
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Tomography of quantum states with bounded extent
A reduction from weak agnostic learning of class C to efficient tomography of states with bounded l1-extent w.r.t. C, with a concrete algorithm for stabilizer states running in poly(n, (ξ/ε)^log(ξ/ε)) time.
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Quantum Nonlinear Properties from a Single Measurement Setting
CBNE enables estimation of nonlinear quantum properties such as higher-order expectations from a single randomized measurement setting under sufficient system dimension or ancillary qubits.
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Exponential speedups in fault-tolerant processing of quantum experiments
Embedding experimental quantum states into high-distance codes enables exponential speedups in fault-tolerant shadow tomography and cubic observable estimation over unencoded adaptive strategies.
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Efficient witnessing and testing of magic in mixed quantum states
Efficient witnesses and testing algorithms based on stabilizer Rényi entropy certify and quantify magic in mixed states, with experimental demonstration on IonQ hardware showing robustness under strong noise.