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Quantum State Readout, Collapses, Probes and Signals

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 Added by Adrian Kent
 Publication date 2020
  fields Physics
and research's language is English




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Theories involving localized collapse allow the possibility that classical information could be obtained about quantum states without using POVMS and without allowing superluminal signalling. We can model this by extending quantum theory to include hypothetical devices that read out information about the local quantum state at a given point, defined by considering only collapses in its past light cone. Like Popescu-Rohrlich boxes, these hypothetical devices would have practical and scientific implications if realisable. These include signalling through opaque media, probing the physics of distant or opaque systems without needing a reflected signal and giving detailed information about collapse dynamics without requiring direct observation of the collapsing system. These potential applications motivate systematic searches for possible signatures of these nonstandard extensions of quantum theory, and in particular for relevant gravitational effects, such as the validity of semi-classical gravity on small scales.



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Quantum state measurement is not only a fundamental component of quantum physics, but also plays an important role in the development of various practical quantum technologies, including quantum communication, quantum computing, as well as quantum metrology. However, the fidelity of readout exponentially decays with the number of qubits, which would hinder the large-scale expansion of quantum information processing. In particular, qubit measurement is generally the most error-prone operation on a quantum computer. Here, we present a quantum state readout method, named compression readout, to avoid huge errors caused by multi-qubit measurement, by compressing the quantum state into a single ancilla qubit and measuring this ancilla qubit. Compared with conventional measurements, our method is significantly more resilient against the readout noise from qubit growth, making it a promising candidate for high-fidelity quantum state readout in large-scale quantum computing.
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We propose a procedure for tomographic characterization of continuous variable quantum operations which employs homodyne detection and single-mode squeezed probe states with a fixed degree of squeezing and anti-squeezing and a variable displacement and orientation of squeezing ellipse. Density matrix elements of a quantum process matrix in Fock basis can be estimated by averaging well behaved pattern functions over the homodyne data. We show that this approach can be straightforwardly extended to characterization of quantum measurement devices. The probe states can be mixed, which makes the proposed procedure feasible with current technology.
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We address the impossibility of achieving exact time reversal in a system with many degrees of freedom. This is a particular example of the difficult task of aiming an initial classical state so as to become a specific final state. We also comment on the classical-to-quantum transition in any non-separable closed system of $n geq 2$ degrees of freedom. Even if the system is initially in a well defined WKB, semi-classical state, quantum evolution and, in particular, multiple reflections at classical turning points make it completely quantum mechanical with each particle smeared almost uniformly over all the configuration space. The argument, which is presented in the context of $n$ hard discs, is quite general. Finally, we briefly address more complex quantum systems with many degrees of freedom and ask when can they provide an appropriate environment to the above simpler systems so that quantum spreading is avoided by continuously leaving imprints in the environment. We also discuss the possible connections with the pointer systems that are needed in the quantum-to-classical collapse transitions.
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