Search results

Create the page "Unitary 2-design" on this wiki! See also the search results found.

• Cross-Platform verification of Intermediate Scale Quantum Devices
  ...ere, the local random unitaries are sampled independently from a [[unitary 2-design]] defined on the local Hilbert space and sent via classical communication t * Repeating these measurements for the fixed random unitary provides us with the estimates of probability of measurement outcomes for t
  10 KB (1,545 words) - 21:18, 30 May 2020
• State Dependent N-M Cloning
  * We assume that the transformation is [[unitary]], acting on the Hilbert space of <math>M</math> qubits and thus, the follo * The condition that transformation should be unitary adds following constraint on the scalar product of final states:</br>
  6 KB (984 words) - 13:01, 12 July 2019
• Optimal Universal N-M Cloning
  ...nd produces M identical copies. Mathematically, this transformation is a [[Unitary transformation]] (It preserves the inner product). This machine is universa ...es to M identical states as close as possible to the original states. This unitary operation can be implemented by quantum gates (or other equivalent quantum
  4 KB (695 words) - 12:52, 12 July 2019
• Distributed Ballot Based Protocol
  ...s a unitary operation on one of the qudits in the global state and another unitary operation on one of the qudits to find the number of yes votes. ...gle j|.</math><p> According to the result <math>r_k, V_k</math> performs a unitary correction <math>U_{r_k} = I \otimes \sum_{j=0}^{D-1}|j+r_k\rangle \langle
  4 KB (771 words) - 18:34, 8 March 2021
• Phase Co-variant Cloning
  * We assume that the transformation is a [[unitary]] transformation acting on the Hilbert space of 2 (or 3 for the with ancill ...transformation depends on the shrinking factor but not on the phase. This unitary in general acts asymmetrically but it becomes a symmetric case when shrinki
  8 KB (1,297 words) - 13:01, 12 July 2019
• Protocol Library
  |[[Unitary Design Scheme for Quantum Authentication]]
  6 KB (668 words) - 21:47, 15 January 2024
• Probabilistic Cloning
  ...c cloning protocol has three stages: blank or ancillary state preparation, unitary evolution and, measurement. The protocol can be described as follows ...l qubit of the CNOT gate. <math>U_1</math> and <math>U_2</math> denote the unitary operations controlled by qubit x (explained in details in the Pseudo-code s
  11 KB (1,780 words) - 13:02, 12 July 2019
• Quantum voting based on conjugate coding
  ...eption of the blank ballot, each voter re randomizes it and then applies a unitary to the blank ballot fragment and encodes the candidate of choice in the (n ...s d_j^{n}</math><p><math> \forall j \in \{1,...,w\},V_k </math>applies the unitary <math>U^{\bar{d}_j}_j=Y^{d_j^1}\otimes ... \otimes Y^{d_j^{n+1}}</math> to
  4 KB (698 words) - 16:19, 8 March 2021
• Standard Randomised Benchmarking
  ...uniform probability distribution over Clifford group comprises a [[unitary 2-design]].
  10 KB (1,551 words) - 15:55, 27 March 2020
• Multi-Database Quantum Symmetric Private Information Retrieval without Shared Randomness
  *'''Answer:''' Each server applies some unitary map on the received query register and sends the resulting register (‘ans ** Each server applies a unitary map to the received quantum register: <math>|q_j,r \rangle \rightarrow (-1)
  10 KB (1,708 words) - 11:03, 28 July 2021
• Interleaved Randomised Benchmarking
  ...uniform probability distribution over Clifford group comprises a [[unitary 2-design]].
  14 KB (2,173 words) - 14:52, 28 March 2020
• Full Quantum Process Tomography with Linear inversion
  ...completely describe the state changes of the system including any possible unitary operations. It is convenient to consider an equivalent description of the p ...ompletely describe the state changes of the system, including any possible unitary operation.
  11 KB (1,729 words) - 11:46, 25 October 2019
• Direct Fidelity Estimation
  * An analogous method can be used for certifying any unitary quantum channel by estimating the entanglement fidelity. Most of the analys
  7 KB (1,158 words) - 17:09, 6 May 2020
• Glossary
  ...present qubits and boxes represent single qubit unitary gates. A two qubit unitary gate links one qubit from another via vertical lines. Some useful notations ===Unitary Operations===
  33 KB (5,413 words) - 15:30, 12 July 2022
• Asymmetric Universal 1-2 Cloning
  #To prepare the <math>|\psi\rangle_{m_1,n_1}</math> state, a Unitary gate must be performed so that:
  11 KB (1,796 words) - 12:59, 12 July 2019
• Quantum Teleportation
  ...g this, the EPR pair qubit at the receiver's location is modified by local unitary operations that the receiver performs on his state. And the result will be # The receiver performs a local unitary operation on his qubit. Before this step and after that the two-qubit measu
  10 KB (1,594 words) - 08:02, 12 November 2021
• Quantum Cloning
  ...fect copies. The probabilistic cloning machines will no longer consists of unitary operations only. But these machines are represented by quantum maps instead
  4 KB (523 words) - 22:04, 17 April 2019
• Multipartite Entanglement Verification
  ...of dishonest parties involved in the protocol (ie a tensor product of an unitary operator on <math>D</math> and the identity operator on the rest). This mea
  8 KB (1,244 words) - 15:44, 3 March 2020
• Pseudo-Secret Random Qubit Generator (PSQRG)
  ...uperposition of isolated 0s and isolated 1s (a GHZ state), with [[Glossary#Unitary Operations|X (NOT) gates]] applied to qubits depending on the state of qubi **<math>U_{f_k}</math>, Unitary operated on the target register taking first register as control, used to c
  14 KB (2,246 words) - 16:44, 16 October 2019
• Compressed Sensing Tomography
  ...operators). This occurs, for example, when the unknown process consists of unitary evolution combined with local noise (acting on each qubit individually, or
  11 KB (1,739 words) - 14:38, 2 October 2019