Entanglement and separability Sample Clauses

Entanglement and separability. The combination of the superposition principle with the tensor product structure leads to the appearance of entanglement. This is a very peculiar form of correlations, with no classical analog, that appear in the quantum states of composite systems. A key mathematical tool in the understanding of quantum entanglement is the Xxxxxxx decomposition. Definition 8 Let |φ) be a bipartite pure state of HA ⊗ HB. Then we can represent the state in the Xxxxxxx decomposition |φ) = min[dim(HA), dim.(HB)] i=1 , λi|αi) ⊗ |βi) (B.7) with λi ≥ 0 being the Xxxxxxx coefficients and |αi) and |βi) orthonormal vectors in each space. The number of non-zero Xxxxxxx coefficients is called the Xxxxxxx rank of the state. If we have a pure bipartite state with Xxxxxxx rank one we call the state product or separable because we can write it as the product of two pure states in HA and HB. |φ)AB = |ψ)A ⊗ |ϕ)B (B.8)
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Related to Entanglement and separability

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  • PROVISIONS OF LAW AND SEPARABILITY It is understood and agreed that this MOU is subject to all applicable Federal and State laws, City ordinances and regulations, the Charter of the City of Los Angeles, and any lawful rules and regulations enacted by the City's Civil Service Commission or the XXX. If any part or provision of this MOU is in conflict or inconsistent with such applicable provisions of Federal, State, or local law or regulations, or is otherwise held to be invalid or unenforceable by any court of competent jurisdiction, such part of said provision shall be suspended and superseded by such applicable law or regulations and the remainder of the MOU shall not be affected thereby; the parties agree to negotiate promptly a replacement for such part or provision. The parties understand that many of the employees covered by this MOU may also be covered by the Fair Labor Standards Act of 1938, as amended, 29 U.S.C. Section 201 et seq. (FLSA). To the extent that any provision herein conflicts with the FLSA, employees covered by the FLSA shall receive benefits required hereunder and any additional benefits set forth herein if compatible with the FLSA.

  • SEPARABILITY In case any provision in this Indenture or in the Notes shall be invalid, illegal or unenforceable, the validity, legality and enforceability of the remaining provisions shall not in any way be affected or impaired thereby.

  • Construction and Severability If any provision of this Agreement shall be held invalid, illegal or unenforceable in any jurisdiction, the validity, legality and enforceability of the remaining provisions contained herein shall not in any way be affected or impaired, and the parties undertake to implement all efforts which are necessary, desirable and sufficient to amend, supplement or substitute all and any such invalid, illegal or unenforceable provisions with enforceable and valid provisions which would produce as nearly as may be possible the result previously intended by the parties without renegotiation of any material terms and conditions stipulated herein.

  • Integration and severability This Agreement constitutes the entire agreement between the Parties with respect to the subject matter hereof and supersedes all prior agreements and understandings (whether written or oral) between the Parties. The provisions of this Agreement are severable, and in the event any provisions of this Agreement shall be determined to be invalid or unenforceable under any controlling body of law, such invalidity or unenforceability shall not in any way affect the validity or enforceability of the remaining provisions hereof.

  • Implementation of Agreement Each Party must promptly execute all documents and do all such acts and things as is necessary or desirable to implement and give full effect to the provisions of this Agreement.

  • SEPARABILITY AND SAVINGS 24.1 If any provision of this Agreement or any application of this Agreement to any employee or group of employees is held invalid by operation of law or by a Court or other tribunal of competent jurisdiction, such provision shall be inoperative but all other provisions shall not be affected thereby and shall continue in full force and effect.

  • Construction and Scope of Agreement The language of all parts of this Agreement shall in all cases be construed as a whole, according to its fair meaning, and not strictly for or against any party. This Agreement is the only, sole, entire, and complete agreement of the parties relating in any way to the subject matter hereof. No statements, promises, or representations have been made by any party to any other, or relied upon, and no consideration has been offered or promised, other than as may be expressly provided herein. This Assumption of Risk, Release of Claims, Indemnification, and Hold Harmless and Agreement supersedes any earlier written or oral understandings or agreements between the parties. Participant acknowledges that he/she has read this Assumption of Risk, Release of Claims, Indemnification and Hold Harmless Agreement, understands its meaning and effect, and agrees to be bound by it. Date:

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  • Modification and Severability The Contract may only be modified by written agreement between the Department and the Contractor. Should a court determine any provision of the Contract is invalid, the remaining provisions will not be affected, and the rights and obligations of the Parties will be construed and enforced as if the Contract did not contain the provision held invalid.

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