"stoquastic" meaning in All languages combined

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "stochastic",
        "3": "quantum"
      },
      "expansion": "Blend of stochastic + quantum",
      "name": "blend"
    }
  ],
  "etymology_text": "Blend of stochastic + quantum",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "stoquastic (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English blends",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "stoquastic Hamiltonian"
        }
      ],
      "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": "quotation"
        },
        {
          "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.",
          "type": "quotation"
        }
      ],
      "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”."
      ],
      "id": "en-stoquastic-en-adj-n7DKWmgQ",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "Hermitian",
          "Hermitian"
        ],
        [
          "matrix",
          "matrix"
        ],
        [
          "quantum mechanics",
          "quantum mechanics#English"
        ],
        [
          "stochastic matrices",
          "stochastic matrices#English"
        ],
        [
          "sign problem",
          "sign problem#English"
        ]
      ],
      "raw_glosses": [
        "(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”."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/stəˈkwæstɪk/"
    },
    {
      "rhymes": "-æstɪk"
    }
  ],
  "word": "stoquastic"
}

{
  "derived": [
    {
      "word": "stoquastic Hamiltonian"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "stochastic",
        "3": "quantum"
      },
      "expansion": "Blend of stochastic + quantum",
      "name": "blend"
    }
  ],
  "etymology_text": "Blend of stochastic + quantum",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "stoquastic (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English 3-syllable words",
        "English adjectives",
        "English blends",
        "English entries with incorrect language header",
        "English lemmas",
        "English terms with IPA pronunciation",
        "English terms with quotations",
        "English uncomparable adjectives",
        "Rhymes:English/æstɪk",
        "en:Mathematics"
      ],
      "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": "quotation"
        },
        {
          "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.",
          "type": "quotation"
        }
      ],
      "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”."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "Hermitian",
          "Hermitian"
        ],
        [
          "matrix",
          "matrix"
        ],
        [
          "quantum mechanics",
          "quantum mechanics#English"
        ],
        [
          "stochastic matrices",
          "stochastic matrices#English"
        ],
        [
          "sign problem",
          "sign problem#English"
        ]
      ],
      "raw_glosses": [
        "(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”."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/stəˈkwæstɪk/"
    },
    {
      "rhymes": "-æstɪk"
    }
  ],
  "word": "stoquastic"
}