stoquastic
adj/stəˈkwæstɪk/
Etymology Blend of stochastic + quantum.
1
Mathematics, Sciences Of a Hermitian matrix, having real non-positive off-diagonal elements. These matrices have elements of quantum mechanics and classical theory of stochastic matrices. For non-technical purposes ‘stoquastic’ is equivalent to “avoiding the sign problem”.
- Stoquastic Hamiltonians, those for which all off-diagonal matrix elements in the standard basis are real and non-positive, are common in the physical world.2015, Ian Kivlichan, “On the complexity of stoquastic Hamiltonians,” publication not named (termpaper?), 11 December 2015
- We contrast this with the case of sampling from the output of a quantum computer running the Quantum Adiabatic Algorithm (QADI) with the restriction that the Hamiltonian that governs the evolution is gapped and stoquastic.2016, Edward Farhi, Aram W Harrow, “Quantum Supremacy through the Quantum Approximate Optimization Algorithm”, in arXiv:
1 more example
- As stoquastic problems we use frustrated Ising Hamiltonians, having random local X and Z fields, and random σ_zσ_z couplings.2016, R. Barends et al., “Digitized adiabatic quantum computing with a superconducting circuit”, in Nature, 534, 222-226, 9 June 2016:
- Derived terms
- stoquastic Hamiltonian