Quantum Circuits for Conventional Quantum Phase Estimation (QPE) (left) vs. Bayesian Phase Difference Estimation (BPDE) (right) (IMAGE)
Caption
Left: The phase difference between |0⟩|Ψ⟩ and exp(-iEt)|1⟩|Ψ⟩ affords the total energy E . The curved arrow in purple indicates the phase evolution of |Ψ⟩ in time. Right: The phase difference between exp(-iE0t)|0⟩|Ψ0 ⟩ and exp(-iE1t)|1⟩|Ψ1 ⟩ affords the energy difference E1 - E0, directly. The curved arrows in blue and in purple indicate the phase evolution of |Ψ0 ⟩ and that of |Ψ1 ⟩, respectively.
Credit
K. Sugisaki, K. Sato and T. Takui
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