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  1. IBM-Trinity Pre-Doc Program: IBM-TCD Pre-doc Fellowship in Quantum Science

    ... compilation and quantum simulation Compilation of unitary matrices for use in current noisy and connectivity-limited quantum ... requirements, that is the closest as possible to the unitary that we would like to implement and simulate. Under different notions ...

    Position - John_Goold - 28/07/2021 - 16:29 - 2 comments

  2. Increase the number of qubits for QC simulator necessary ?

    ... the existence of units that perform highly idealized unitary operations. However, in practice these operations are difficult to ... a hardware implementation of a QC will perform unitary operations that are more complicated than those considered in most ...

    Forum topic - Ljpu - 26/10/2015 - 17:08 - 1 comment

  3. Quantum logic gates

    ... A quantum logic gate is a device which performs a fixed unitary operation on selected qubits in a fixed period of time. The gates ... qubit is ∣ 0⟩ . The gate is represented by the unitary matrix Image:Img76.png where x ,  y  = 0or 1 ...

    Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments

  4. Hermitian matrix

    ...   A is Hermitian if and only if there are a unitary matrix   U  ∈  M n and a real diagonal matrix ... be a given family of Hermitian matrices. Then there exists a unitary matrix   U  ∈  M n such that   U Λ U ...

    Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments

  5. Superfidelity

    ... ρ 2 ) =  G ( ρ 2 ,  ρ 1 ) . Unitary invariance: for any unitary operator U , we have   G ( ρ 1 ,  ρ 2 ...

    Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments

  6. CNOT

    ...   U C N O T is Hermitian and unitary, and can be rewritten as a block matrix in the form: ... all phase gates are available then any   n -qubit unitary operation can be simulated exactly with   O (4 n n ) ...

    Wiki article - Anonymous (not verified) - 02/07/2018 - 11:02 - 0 comments

  7. SicSteve

    ... following problem. Consider an irrep of a group that is a unitary 1-design (and isn't also a unitary 2-design). For example, take a d-dimensional irrep of the ...

    Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments

  8. Isotropic state

    ... bipartite quantum state that is invariant under any unitary of the form U  ⊗  U  *  , where * denotes complex conjugate. That is, any state with the property that for any unitary U on one part of the system, ρ  = ( U  ⊗  U ...

    Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments

  9. LOCC operations

    ... , where the U 's are unitary, $0<\alpha_{1,2}\leq 1$ and the whole of A is ... Bell diagonal form of the state is unique up to local unitary trasformations and gives a characterization of locally equivalent ...

    Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments

  10. Anyons

    ... of braiding can be equivalent to multiplication by an unitary matrix. In the latter case the final state can be an superposition. ... one can build a universal set of computational gates. The unitary gate operations are carried out by braiding quasi-particles, and then ...

    Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments

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