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In fact, a quantum computer that is only allowed to use superposition, without interference, is equivalent in computational power to a classical probabilistic computer [D. Aharonov (private communication).
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85037181472
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The “(Formula presented)” superscript indicates the ferromagnetic case
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The “(Formula presented)” superscript indicates the ferromagnetic case.
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51
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85037229425
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(Formula presented) should be understood as “(Formula presented) plus (Formula presented)” or “(Formula presented) minus (Formula presented)” not “(Formula presented) to the power (Formula presented)”
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(Formula presented) should be understood as “(Formula presented) plus (Formula presented)” or “(Formula presented) minus (Formula presented)” not “(Formula presented) to the power (Formula presented)”
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85037211931
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This operator is still “valid” since it can be decomposed into a product of two-qubit operators
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This operator is still “valid” since it can be decomposed into a product of two-qubit operators.
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85037191578
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Suppose, without loss of generality, that (Formula presented). Then (Formula presented) (Formula presented) (Formula presented). For the other direction, take (Formula presented). This proves Eq. (2.51)
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Suppose, without loss of generality, that (Formula presented). Then (Formula presented) (Formula presented) (Formula presented). For the other direction, take (Formula presented). This proves Eq. (2.51).
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57
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85037199873
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N. IA. Vilenkin and A. U. Klimyk, Representation of Lie Groups and Special Functions (Kluwer Academic, Dordrecht, 1991), Vol. 2, p. 10
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N. IA. Vilenkin and A. U. Klimyk, Representation of Lie Groups and Special Functions (Kluwer Academic, Dordrecht, 1991), Vol. 2, p. 10.
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85037249684
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Technically this is an induction on a finite set since the lattice is finite. But this is not a problem since once the entire lattice is covered the operation of closing a new bond is undefined
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Technically this is an induction on a finite set since the lattice is finite. But this is not a problem since once the entire lattice is covered the operation of closing a new bond is undefined.
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