Achievability Proof Sample Clauses

Achievability Proof. Similar to the proof of converse part, we begin with the GS model and then argue the CS model.
Sample 1
AutoNDA by SimpleDocs
Achievability Proof. A ∼ L We modify and extend Devetak and Xxxxxx’s methods. When Xxxxx performs the measurement Λ on each of her systems Ai, she obtains a classical memoryless source sequence Xn, which is i.i.d. pX (x) = Tr(Λx ωA). Roughly speaking, one may encode this source using indices, such that this source sequence “appears” to Bob and Xxx as a codeword for the classical- quantum-quantum broadcast channel X→BE that corresponds to ωXBE. Our key-agreement coding schemes is specified below in further details. Fix the POVM ΛA and the conditional distribution pT0,T1|X . Denote the joint distribution of X, T0, and T1 by 0 A 0 1
Sample 1
Achievability Proof. L ∈ X X We show that for every ζ0, ε0, δ0 > 0, there exists a (2n(R0−ζ0), 2n(R1−ζ0), 2n(R2−ζ0), n, ε0, δ0) layered-secrecy code for the quantum broadcast channel A→BE1E2 , provided that (R0, R1, R2) LS( ). To prove achievability, we extend the classical combination of super-position coding with random binning, and then apply the quantum packing lemma and the quantum covering lemma. We use the gentle measurement lemma [110], which guarantees that multiple decoding measurements can be performed without “destroying” the output state. Useful lemmas We make heavy use of the quantum packing lemma, quantum covering lemma, and gentle-measurement lemma. Those lemmas are given below. We begin with the quantum packing lemma, which is a useful tool in proofs of channel coding theorems. Σ Lemma 11 (Quantum Packing Lemma [111][58, Corollary 16.5.1]). Let ρ = pX (x)ρx (175) x∈X where {pX (x), ρx}x∈X is a given ensemble. Furthermore, suppose that there is a code projector Π and codeword projectors Πxn , xn ∈ Aδ (pX ), that satisfy for every α > 0 and sufficiently large n, Tr(Πσxn ) ≥ 1 − α (176) ≥ − Tr(Πxn σxn ) 1 α (177) ne0 Tr(Πxn ) ≤ 2
Sample 1

Related to Achievability Proof

  • Determination of Responsiveness 28.1 The Procuring Entity's determination of a Tender's responsiveness is to be based on the contents of the Tender itself, as defined in ITT28.2.

  • Goal The goals of the Department’s grants are to:

  • Grievability Denial of a petition for reinstatement is grievable. The grievance may not be based on information other than that shared with the Employer at the time of the petition for reinstatement.

  • Local Circuit Switching Capability, including Tandem Switching Capability 4.2.1 Local circuit switching capability is defined as: (A) line-side facilities, which include, but are not limited to, the connection between a loop termination at a main distribution frame and a switch line card; (B) trunk-side facilities, which include, but are not limited to, the connection between trunk termination at a trunk-side cross-connect panel and a switch trunk card; (C) switching provided by remote switching modules; and (D) all features, functions, and capabilities of the switch, which include, but are not limited to: (1) the basic switching function of connecting lines to lines, line to trunks, trunks to lines, and trunks to trunks, as well as the same basic capabilities made available to BellSouth’s customers, such as a telephone number, white page listings, and dial tone; and (2) all other features that the switch is capable of providing, including but not limited to customer calling, customer local area signaling service features, and Centrex, as well as any technically feasible customized routing functions provided by the switch. Any features that are not currently available but are technically feasible through the switch can be requested through the BFR/NBR process.

  • Security Protocols Both parties agree to maintain security protocols that meet industry standards in the transfer or transmission of any data, including ensuring that data may only be viewed or accessed by parties legally allowed to do so. Provider shall maintain all data obtained or generated pursuant to the Service Agreement in a secure digital environment and not copy, reproduce, or transmit data obtained pursuant to the Service Agreement, except as necessary to fulfill the purpose of data requests by LEA.

  • Failure to Maintain Financial Viability The System Agency may terminate the Contract if, in its sole discretion, the System Agency has a good faith belief that Grantee no longer maintains the financial viability required to complete the services and Deliverables, or otherwise fully perform its responsibilities under the Contract.

  • Corrective Measures If the Participating Generator fails to meet or maintain the requirements set forth in this Agreement and/or the CAISO Tariff, the CAISO shall be permitted to take any of the measures, contained or referenced in the CAISO Tariff, which the CAISO deems to be necessary to correct the situation.

  • Project/Milestones Taxpayer provides refrigerated warehousing and logistic distribution services to clients throughout the United States. In consideration for the Credit, Taxpayer agrees to invest in a new refrigeration and distribution facility in the XxXxxxxxx Park area of Sacramento, California, and hire full-time employees (collectively, the “Project”). Further, Taxpayer agrees to satisfy the milestones as described in Exhibit A (“Milestones”) and must maintain Milestones for a minimum of three (3) taxable years thereafter. In the event Taxpayer employs more than the number of full-time employees, determined on an annual full-time equivalent basis, than required in Exhibit A, for purposes of satisfying the “Minimum Annual Salary of California Full-time Employees Hired” and the “Cumulative Average Annual Salary of California Full-time Employees Hired,” Taxpayer may use the salaries of any of the full-time employees hired within the required time period. For purposes of calculating the “Minimum Annual Salary of California Full-time Employees Hired” and the “Cumulative Average Annual Salary of California Full-time Employees Hired,” the salary of any full-time employee that is not employed by Taxpayer for the entire taxable year shall be annualized. In addition, the salary of any full-time employee hired to fill a vacated position in which a full-time employee was employed during Taxpayer’s Base Year shall be disregarded.

  • Outcomes Secondary: Career pathway students will: have career goals designated on SEOP, earn concurrent college credit while in high school, achieve a state competency certificate and while completing high school graduation requirements.

  • Protective Measures We have implemented and will maintain appropriate technical and organisational measures in relation to the Services taking into account the state of the art, the costs of implementation, and the nature, scope, context and purposes of Processing, as well as the likelihood and severity of risk to the rights and freedoms of data subjects. This includes measures relating to the physical security of Our facilities used to deliver them, measures to control access rights to Our assets and relevant networks, and processes for testing these measures. In accordance with Our obligations under applicable law, We may undertake digital forensic investigations in relation to the use of the Services and Subscriptions. You are responsible for using, and ensuring that your Users use, the controls and advice provided by the Services correctly and consistently.

Time is Money Join Law Insider Premium to draft better contracts faster.