Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Peres–Horodecki criterion | Statement: [Asher Peres, notableFor, Peres–Horodecki criterion]

Target entity: Peres–Horodecki criterion
Context triple: [Asher Peres, notableFor, Peres–Horodecki criterion]

• A. Schmidt decomposition
  The Schmidt decomposition is a mathematical technique in functional analysis and quantum information theory that expresses a bipartite vector (such as a quantum state) as a sum of orthogonal product states with nonnegative coefficients, revealing its entanglement structure.
• B. Clauser–Horne–Shimony–Holt inequality
  The Clauser–Horne–Shimony–Holt inequality is a key formulation of Bell's inequality used in quantum mechanics to test the incompatibility of local hidden variable theories with the predictions of quantum entanglement.
• C. Clauser–Horne inequality
  The Clauser–Horne inequality is a fundamental Bell-type inequality in quantum mechanics used to experimentally test local realism against the predictions of quantum entanglement.
• D. Kochen–Specker theorem
  The Kochen–Specker theorem is a foundational result in quantum mechanics showing that it is impossible to assign consistent, noncontextual definite values to all quantum observables, thereby ruling out a broad class of hidden-variable theories.
• E. Flavors of Entanglement
  Flavors of Entanglement is a studio album by Canadian singer-songwriter Alanis Morissette that blends alternative rock with electronic influences and introspective lyrics.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"

Entity: Peres–Horodecki criterion
Triple: [Asher Peres, notableFor, Peres–Horodecki criterion]

The Peres–Horodecki criterion is a fundamental test in quantum information theory that determines whether a given quantum state is entangled or separable by examining the positivity of its partial transpose.

Target entity: Peres–Horodecki criterion
Target entity description: The Peres–Horodecki criterion is a fundamental test in quantum information theory that determines whether a given quantum state is entangled or separable by examining the positivity of its partial transpose.

• A. Schmidt decomposition
  The Schmidt decomposition is a mathematical technique in functional analysis and quantum information theory that expresses a bipartite vector (such as a quantum state) as a sum of orthogonal product states with nonnegative coefficients, revealing its entanglement structure.
• B. Clauser–Horne–Shimony–Holt inequality
  The Clauser–Horne–Shimony–Holt inequality is a key formulation of Bell's inequality used in quantum mechanics to test the incompatibility of local hidden variable theories with the predictions of quantum entanglement.
• C. Clauser–Horne inequality
  The Clauser–Horne inequality is a fundamental Bell-type inequality in quantum mechanics used to experimentally test local realism against the predictions of quantum entanglement.
• D. Kochen–Specker theorem
  The Kochen–Specker theorem is a foundational result in quantum mechanics showing that it is impossible to assign consistent, noncontextual definite values to all quantum observables, thereby ruling out a broad class of hidden-variable theories.
• E. Flavors of Entanglement
  Flavors of Entanglement is a studio album by Canadian singer-songwriter Alanis Morissette that blends alternative rock with electronic influences and introspective lyrics.
• F. None of above. chosen