WebGottesman-Knill theorem: A quantum computer performing only 1. Clifford group operations, 2. measurements of Pauli group operators, 3. Clifford group operations with classical control conditioned on the outcome of … WebDec 31, 2003 · Clifford codes are a class of quantum error control codes that form a natural generalization of stabilizer codes. These codes were introduced in 1996 by Knill, but ...

Gottesman–Knill theorem - Wikipedia

WebJul 2, 2004 · These codes were introduced in 1996 by Knill, but only a single nonstabilizer Clifford code was known to date. We derive a necessary and sufficient condition that allows one to decide when a Clifford code is a stabilizer code. WebDec 21, 1998 · E. Knill 1 and R. Laflamme 2. 1 MS B265, Los Alamos National Laboratory, Los Alamos, New Mexico 87455; 2 MS B288, Los Alamos National Laboratory, Los Alamos, New Mexico 87455; References (Subscription Required) Click to Expand. Issue. Vol. 81, Iss. 25 — 21 December 1998. t box sungai lembing homestay

There is a property of a quantum state called “magic.” As ... - Reddit

WebDec 20, 2024 · The Clifford group are element that preserve the n-Pauli group under conjugation. My question: Is there a link between the result of the Gottesman Knill theorem, and somehow the fact that if you only use gates in the Clifford group you can simplify the circuit using commutation and anti-commutation rules from the n-Pauli group. Webof the Clifford group, that is the normalizer of the Pauli group, and can be simulated efficiently.More precisely, by the Gottesman-Knill theorem, fornqubits, a quantum circuit … WebThere is a property of a quantum state called “magic.” As shown by the Gottesman-Knill theorem, so-called stabilizer states, which are composed of only Clifford gates, can be … t-box sungai lembing pahang