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Algorithms Bridging Quantum Computation and Chemistry

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Figure 1.1:· · · An example quantum circuit diagram. These diagrams are read from left to right,where horizontal lines denote a particular qubit, boxes represent a quantum gate, and lines showsthe control relationship for multi-qubit gates
Figure 2.1: Architecture of the quantum-variational eigensolver. (Algorithm 1): Quantum statesthat have been previously prepared, are fed into the quantum modules which compute ⟨Hi⟩, whereHi is any given term in the sum defining H
Figure 2.2: Experimental implementation of our scheme.(a) Quantum state preparation andchip
Figure 2.3: Finding the ground state of He-H+ for a specific molecular separation R = 90 pm.(a) Experimentally computed energy ⟨H⟩ (colored dots) as a function of the optimization step j.The color represents the tangle (degree of entanglement) of the physic
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Outline

Trapped ions for quantum chemistry Unitary coupled-cluster (UCC) ansatz Supplementary Material Electronic structure problem Quantum energy estimation Adiabatic computation Introduction Supplemental Information Mitigating the sign problem Parallel-in-time scaling

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