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The open learn heart venture "Interdisciplinary basic learn towards attention of a quantum computer" has been supported through the Ministry of schooling, Japan for 5 years. this can be a number of the examine results via the participants engaged within the undertaking. To make the presentation self-contained, it begins with an outline via Mikio Nakahara, which serves as a concise creation to quantum details and quantum computing. next contributions contain topics from physics, chemistry, arithmetic, and data technology, reflecting upon the big variety of scientists operating lower than this venture. those contributions introduce NMR quantum computing and similar strategies, quantity conception and coding idea, quantum errors correction, photosynthesis, non-classical correlations and entanglement, impartial atom quantum machine, between others. each one of contributions will function a brief creation to those leading edge study fields.

Readership: Graduate scholars and researchers in physics, chemistry, arithmetic, informatics and machine technology. additionally obtainable to complicated undergraduate scholars.

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Additional info for Quantum Information and Quantum Computing (Kinki University Series on Quantum Computing, Volume 6)

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A collection of quantum circuits for executing a complicated algorithm, a quantum algorithm, is a part of a quantum computation. 1. (Quantum Computation) A quantum computation is a collection of the following three elements: (1) A register or a set of registers, (2) A unitary matrix U , which is designed to execute some quantum algorithm and (3) Measurements to extract information we need. More formally, a quantum computation is the set {H, U, {Mm }}, where n H = C2 is the Hilbert space of an n-qubit register, U ∈ U (2n ) represents a quantum algorithm and {Mm } is the set of measurement operators.

The gate is the inverted CNOT gate I ⊗ |0⟩⟨0| + σx ⊗ |1⟩⟨1|. The circuit depicted in Fig. 3 models the bit-flip channel provided that the second qubit is in a mixed state (1 − p)|0⟩⟨0| + p|1⟩⟨1|. The circuit is nothing but the inverted CNOT gate V = I ⊗ |0⟩⟨0| + σx ⊗ |1⟩⟨1|. The output of this circuit is V (ρS ⊗ [(1 − p)|0⟩⟨0| + p|1⟩⟨1|]) V † = (1 − p)ρS ⊗ |0⟩⟨0| + pσx ρS σx |1⟩⟨1|, (65) from which we obtain E(ρS ) = (1 − p)ρS + pσx ρS σx (66) after tracing over the environment Hilbert space. The choice of the second qubit input state is far from unique and so is the choice of the circuit.

48, 771 (2000). 4. D. D. Yavuz, P. B.

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