Every quantum algorithm worth knowing about, written down the same way: what it takes, what it returns, what it costs, and who proved it.
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The defining behavior was checked exactly: a mathematical identity, a full statevector or stabilizer simulation, or an exhaustive basis-state truth table.
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12 public entries
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The minimal-basis (STO-3G) H₂ electronic Hamiltonian after Jordan-Wigner/parity mapping and two-qubit tapering: the canonical small-molecule target for variational quantum eigensolver (VQE) demonstrations.
Compute the ground-state energy of an atom or molecule, a calculation whose time the paper states scales exponentially with system size on a classical computer.
Observable for molecular polarity and response. Representative form: μ = -Σᵢrᵢ + Σ_AR_AZ_A.
Second-quantized molecular energy operator. Representative form: H = Σ hₚq a†ₚa_q + 1/2 Σ hₚqrs a†ₚa†_q a_r a_s.
Simulate strongly correlated chemical systems on near-term quantum hardware, whose noise and limited size otherwise confine such simulations to small chemical systems, by embedding a quantum treatment of a strongly correlated fragment within a larger classical calculation.
Predict the three-dimensional structure a protein takes from its primary sequence of amino acids, posed here on the model Hamiltonian the paper defines for a chain of N monomers placed on a tetrahedral lattice.
A ground-state preparation method that projects non-unitary imaginary-time evolution onto a parameterized quantum circuit.
The eigenphase-estimation primitive behind chemistry, simulation, and period-finding workflows.
Represent the spectrum of a quantum chemistry Hamiltonian, given in an arbitrary (for example molecular) orbital basis, as a block-encoded quantum circuit cheap enough to support phase estimation of a molecular eigenvalue.
A hybrid chemistry workflow that compares a quantum expectation loop with classical eigensolvers.
Repeated paired generalized doubles with generalized singles trade expressivity against shallower chemistry circuits.
A chemistry-inspired unitary coupled-cluster ansatz truncated to single and double excitations.