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Spin qubits
... by temporarily coupling two spins via the Heisenberg Hamiltonian H s ( t ) = J ( t ) S̄ 1 ... is the spin-1/2 operator for the i-th dot. The Heisenberg Hamiltonian H s ( t ) provides a good description of the ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Quadrature operators and Hermite polynomials
... everyone. I have the following problem. I have The Hamiltonian of the 1D Harmonic Oscillator (hbar=m=w=1) H= x^2+p^2 with ... s=cos(y) x + sin(y) p t=sin(y) x + cos(y) p the new hamiltonian is H=s^2+t^2, so it is invariant. Now my question is: How can I ...
Forum topic - Hellmann - 26/10/2015 - 17:08 - 2 comments
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State transfer
... now been developed that require a single, time-independent, Hamiltonian to be applied between a series of qubits ... One particular example, from quant-ph/0309131, involves a Hamiltonian of the form ... instead of 2 N × 2 N . This particular Hamiltonian is even simpler because it is just the same as the rotation matrix ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Decoherence-free subspaces
... static magnetic field (for simplicity) along the z-axis. The Hamiltonian is assumed to be H = B ( σ z 1 ... of the system and the bath is formally governed by the total Hamiltonian H = H S ( t ) + H B ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Superconductivity
... using a canonical transformation of the electronic Hamiltonian . In 1959, Gor'kov showed that the BCS theory reduced to the ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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IBM-Trinity Pre-Doc Program: IBM-TCD Pre-doc Fellowship in Quantum Science
... As an important physical example, simulation of a physical Hamiltonian can be cast as a quantum compilation problem. This includes the ... as spin chains. Currently, one would carefully design the Hamiltonian, then approximate it via a Trotter decomposition, then approximate ...
Position - John_Goold - 28/07/2021 - 16:29 - 2 comments
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Master equation
... t ) = exp( − i H t ) , where the full Hamiltonian H = H S + H B + V ... and consists of three parts, namely the system Hamiltonian H S , the bath Hamiltonian H B ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:37 - 0 comments
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NMR
... this case). And E k is being replaced by the Hamiltonian H of the system. In the folling the notations σ 1 = ... state NMR this term usually has to be measured. 4. The Pulse Hamiltonian or RF Hamiltonian: H R depends on what you want the ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Geometric (holonomic) gates
... and ``slow'' degrees of freedom, getting for the former a Hamiltonian that depends parametrically on the latter \cite{SHWI}. In this case ... phases. We first assume that \cal{F} is an 'iso-degenerate' Hamiltonian family i.e., all the elements of \cal{F} have the same degeneracy ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Bose-Hubbard model
... . The Bose-Hubbard model is described by the following Hamiltonian: $$H_{BH}=-\frac{t}{2}\sum\limits_{\left\langle i,j ... The range of interest for constructing the Bose-Hubbard Hamiltonian is the range where the wavefunction of the system may be described ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:37 - 0 comments