"stoquastic" meaning in English

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  "etymology_text": "Blend of stochastic + quantum",
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  "lang_code": "en",
  "pos": "adj",
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      "derived": [
        {
          "word": "stoquastic Hamiltonian"
        }
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      "examples": [
        {
          "ref": "2015, Ian Kivlichan, “On the complexity of stoquastic Hamiltonians,” publication not named (termpaper?), 11 December 2015",
          "text": "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."
        },
        {
          "ref": "2016, Edward Farhi, Aram W Harrow, “Quantum Supremacy through the Quantum Approximate Optimization Algorithm”, in arXiv:",
          "text": "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.",
          "type": "quote"
        },
        {
          "ref": "2016, R. Barends et al., “Digitized adiabatic quantum computing with a superconducting circuit”, in Nature, 534, 222-226, 9 June 2016:",
          "text": "As stoquastic problems we use frustrated Ising Hamiltonians, having random local X and Z fields, and random σ_zσ_z couplings.",
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      "glosses": [
        "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”."
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          "matrix",
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          "quantum mechanics",
          "quantum mechanics#English"
        ],
        [
          "stochastic matrices",
          "stochastic matrices#English"
        ],
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          "sign problem",
          "sign problem#English"
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        "(mathematics) 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”."
      ],
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  "word": "stoquastic"
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  "etymology_text": "Blend of stochastic + quantum",
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          "ref": "2015, Ian Kivlichan, “On the complexity of stoquastic Hamiltonians,” publication not named (termpaper?), 11 December 2015",
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        },
        {
          "ref": "2016, Edward Farhi, Aram W Harrow, “Quantum Supremacy through the Quantum Approximate Optimization Algorithm”, in arXiv:",
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        {
          "ref": "2016, R. Barends et al., “Digitized adiabatic quantum computing with a superconducting circuit”, in Nature, 534, 222-226, 9 June 2016:",
          "text": "As stoquastic problems we use frustrated Ising Hamiltonians, having random local X and Z fields, and random σ_zσ_z couplings.",
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        "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”."
      ],
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          "Hermitian",
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        ],
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          "quantum mechanics",
          "quantum mechanics#English"
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          "stochastic matrices",
          "stochastic matrices#English"
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        "(mathematics) 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”."
      ],
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  "word": "stoquastic"
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