Information Gain in Tomography–A Quantum Signature of Chaos
نویسندگان
چکیده
منابع مشابه
Information gain in tomography--a quantum signature of chaos.
We find quantum signatures of chaos in various metrics of information gain in quantum tomography. We employ a quantum state estimator based on weak collective measurements of an ensemble of identically prepared systems. The tomographic measurement record consists of a sequence of expectation values of a Hermitian operator that evolves under repeated application of the Floquet map of the quantum...
متن کاملExponential gain in quantum computing of quantum chaos and localization.
We present a quantum algorithm which simulates the quantum kicked rotator model exponentially faster than classical algorithms. This shows that important physical problems of quantum chaos, localization, and Anderson transition can be modeled efficiently on a quantum computer. We also show that a similar algorithm simulates efficiently classical chaos in certain area-preserving maps.
متن کاملEntanglement as a signature of quantum chaos.
We explore the dynamics of entanglement in classically chaotic systems by considering a multiqubit system that behaves collectively as a spin system obeying the dynamics of the quantum kicked top. In the classical limit, the kicked top exhibits both regular and chaotic dynamics depending on the strength of the chaoticity parameter kappa in the Hamiltonian. We show that the entanglement of the m...
متن کاملInformation gain in quantum eavesdropping
We analyse the information obtained by an eavesdropper during the various stages of a quantum cryptographic protocol associated with key distribution . We provide both an upper and a lower limit on the amount of information that may have leaked to the eavesdropper at the end of the key distribution procedure . These limits are restricted to intercept/resend eavesdropping strategies . The upper ...
متن کاملInformation-theoretic characterization of quantum chaos.
Hypersensitivity to perturbation is a criterion for chaos based on the question of how much information about a perturbing environment is needed to keep the entropy of a Hamiltonian system from increasing. We demonstrate numerically that hypersensitivity to perturbation is present in the following quantum maps: the quantum kicked top, the quantum baker’s map, the quantum lazy baker’s map, and t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2014
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.112.014102