Greenberger–Horne–Zeilinger state

highly entangled quantum state of 3 or more qubits
Thing general Q11300563
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Greenberger–Horne–Zeilinger state

Summary

Greenberger–Horne–Zeilinger state ranks in the top 2% of general entities by monthly Wikipedia readership (143 views/month).[1]

Key Facts

  • Greenberger–Horne–Zeilinger state is credited with the discovery of Daniel Greenberger[2].
  • Greenberger–Horne–Zeilinger state is credited with the discovery of Michael Horne[3].
  • Greenberger–Horne–Zeilinger state is credited with the discovery of Anton Zeilinger[4].
  • Greenberger–Horne–Zeilinger state's subclass of is recorded as pure state[5].
  • Greenberger–Horne–Zeilinger state's time of discovery or invention is recorded as +1989-00-00T00:00:00Z[6].
  • Greenberger–Horne–Zeilinger state's Freebase ID is recorded as /m/0bl8zw[7].
  • Greenberger–Horne–Zeilinger state's Stack Exchange tag is recorded as https://quantumcomputing.stackexchange.com/tags/ghz-state[8].
  • Greenberger–Horne–Zeilinger state's has characteristic is recorded as multipartite entanglement[9].
  • Greenberger–Horne–Zeilinger state's defining formula is recorded as |\mathrm{GHZ} \rangle =\frac{|000\rangle^{\otimes M}+|111\rangle^{\otimes M}}{\sqrt2}[10].
  • Greenberger–Horne–Zeilinger state's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • Greenberger–Horne–Zeilinger state's Microsoft Academic ID is recorded as 72933692[12].
  • Greenberger–Horne–Zeilinger state's in defining formula is recorded as |\mathrm{GHZ} \rangle[13].
  • Greenberger–Horne–Zeilinger state's in defining formula is recorded as \sqrt2[14].
  • Greenberger–Horne–Zeilinger state's in defining formula is recorded as \otimes[15].
  • Greenberger–Horne–Zeilinger state's OpenAlex ID is recorded as C72933692[16].
  • Greenberger–Horne–Zeilinger state's Encyclopedia of China is recorded as 215794[17].

Body

Works and Contributions

Credited discoveries include Daniel Greenberger[2], a physicist[18], b. 1932[19], of United States[20], awarded the Fellow of the American Physical Society[21], specialised in physicist[22]; Michael Horne[3], a physicist[23], 1943–2019[24]; and Anton Zeilinger[4], a physicist[25], b. 1945[26], of Austria[27], awarded the Knight Commander's Cross of the Order of Merit of the Federal Republic of Germany[28], specialised in quantum physics[29].

Why It Matters

Greenberger–Horne–Zeilinger state ranks in the top 2% of general entities by monthly Wikipedia readership (143 views/month).[1] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[30] It is known by 3 alternative names across languages and contexts.[31]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  16. [17] . wikidata.org.

Inline context (facts about related entities)

  1. [18] . Wikidata. wikidata.org. → on this site
  2. [19] . Wikidata. wikidata.org. → on this site
  3. [20] . Wikidata. wikidata.org. → on this site
  4. [21] . Wikidata. wikidata.org. → on this site
  5. [22] . Wikidata. wikidata.org. → on this site
  6. [23] . Wikidata. wikidata.org. → on this site
  7. [24] . Wikidata. wikidata.org. → on this site
  8. [25] . Wikidata. wikidata.org. → on this site
  9. [26] . Wikidata. wikidata.org. → on this site
  10. [27] . Wikidata. wikidata.org. → on this site
  11. [28] . Wikidata. wikidata.org. → on this site
  12. [29] . Wikidata. wikidata.org. → on this site

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [30] . Wikidata sitelinks. wikidata.org.
  3. [31] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Greenberger–Horne–Zeilinger state. Retrieved April 10, 2026, from https://4ort.xyz/entity/greenberger-horne-zeilinger-state
MLA “Greenberger–Horne–Zeilinger state.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/greenberger-horne-zeilinger-state.
BibTeX @misc{4ortxyz_greenberger-horne-zeilinger-state_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Greenberger–Horne–Zeilinger state}}, year = {2026}, url = {https://4ort.xyz/entity/greenberger-horne-zeilinger-state}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Greenberger–Horne–Zeilinger state — https://4ort.xyz/entity/greenberger-horne-zeilinger-state (retrieved 2026-04-10)

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