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Throughout our paper, (Formula presented) need not be the third-lowest level. In fact, in regime (b) [cf. above Eq. (3b)], there can even be states between (Formula presented) and (Formula presented) However, any such additional states should not be too close to the three indicated ones
-
Throughout our paper, (Formula presented) need not be the third-lowest level. In fact, in regime (b) [cf. above Eq. (3b)], there can even be states between (Formula presented) and (Formula presented) However, any such additional states should not be too close to the three indicated ones.
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11
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85038951212
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Apart from using a Hamiltonian term (Formula presented) for a nonsensical “overall phase shift.”
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Apart from using a Hamiltonian term (Formula presented) for a nonsensical “overall phase shift.”
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12
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85038950587
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Also, (Formula presented) for any A: the qubit wave functions have exponentially small spatial overlap due to the high tunneling barrier. Without this assumption, if, e.g., (Formula presented) in regime (b), then the (Formula presented) pulse could unintenionally irradiate the (Formula presented) as well as the (Formula presented) transition
-
Also, (Formula presented) for any A: the qubit wave functions have exponentially small spatial overlap due to the high tunneling barrier. Without this assumption, if, e.g., (Formula presented) in regime (b), then the (Formula presented) pulse could unintenionally irradiate the (Formula presented) as well as the (Formula presented) transition.
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13
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0034312628
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), Eq. (22): our off-diagonal (Formula presented) play a role formally analogous to their tunneling amplitude
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D.V. Averin, J.R. Friedman, and J.E. Lukens, Phys. Rev. B 62,11 802 (2000), Eq. (22): our off-diagonal (Formula presented) play a role formally analogous to their tunneling amplitude.
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Averin, D.V.1
Friedman, J.R.2
Lukens, J.E.3
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85038894640
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B.W. Shore, The Theory of Coherent Atomic Excitation, Vol. 2 (Wiley, New York, 1990), Sec. 13.7
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B.W. Shore, The Theory of Coherent Atomic Excitation, Vol. 2 (Wiley, New York, 1990), Sec. 13.7.
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16
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85038938028
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Fine-tuned counterexamples can be contrived. A solvable case is (Formula presented) and (Formula presented) With (Formula presented) the eigenvalues read (Formula presented) and (Formula presented) The half Rabi-period evolution does not decompose, but the full-period evolution does—unfortunately into (Formula presented) so only a trivial gate is induced [cf. Fig. 22(d)]
-
Fine-tuned counterexamples can be contrived. A solvable case is (Formula presented) and (Formula presented) With (Formula presented) the eigenvalues read (Formula presented) and (Formula presented) The half Rabi-period evolution does not decompose, but the full-period evolution does—unfortunately into (Formula presented) so only a trivial gate is induced [cf. Fig. 22(d)].
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19
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0033551920
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E. Il’ichev, M. Grajcar, R. Hlubina, R.P.J. IJsselsteijn, H.E. Hoenig, H.-G. Meyer, A. Golubov, M.H.S. Amin, A.M. Zagoskin, A.N. Omelyanchouk, and M.Yu. Kupriyanov, Phys. Rev. Lett. 86, 5369 (2001)
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E. Il’ichev, M. Grajcar, R. Hlubina, R.P.J. IJsselsteijn, H.E. Hoenig, H.-G. Meyer, A. Golubov, M.H.S. Amin, A.M. Zagoskin, A.N. Omelyanchouk, and M.Yu. Kupriyanov, Phys. Rev. Lett. 86, 5369 (2001).
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A.A. Golubov (private communication).
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