Tag: kraus-representation

6 Can the Kraus decomposition always be chosen to be a statistical mixture of unitary evolutions? 2019-08-06T16:15:21.107

5 How does $\mathcal E(\rho)=\mathrm{Tr}_{env}[U(\rho\otimes\rho_{env})U^\dagger]$ turn into $P_0\rho P_0+P_1\rho P_1$? 2018-12-17T06:28:36.610

5 How does the vectorization map relate to the Choi and Kraus representations of a channel? 2019-03-29T17:19:23.093

5 Find the quantum operation corresponding to a given unitary evolution and projective measurement 2019-07-13T22:19:53.150

4 How to find the operator sum representation of the depolarizing channel? 2018-12-16T20:35:45.460

4 How is the partial trace related to the operator sum representation? 2019-11-25T13:25:14.487

4 Unitary over bipartite states that can turn a non-product state into a product state 2020-12-19T20:14:30.060

3 Tensor product properties used to obtain Kraus operator decomposition of a channel 2018-06-01T20:40:29.040

3 What does it mean "less than identity" in the operator sum representation? 2020-01-18T16:02:12.077

3 How to find the unitary operation of a depolarizing channel? 2020-09-01T16:18:02.667

2 Implementing sum on Boolean with Grover algorithm 2020-05-05T11:24:52.817

2 Prove that the depolarizing channel is completely positive 2020-06-20T03:38:16.973

2 Find the Kraus operators of a combined amplitude and phase damping channel 2020-07-10T10:17:08.167

2 Can a Kraus representation act as the identity on any operator? 2020-07-14T19:21:55.230

2 Can any channel be written as $\Phi(X)=\operatorname{Tr}_{\mathcal Z}[U(X\otimes \sigma)U^\dagger]$ for any state $\sigma$? 2020-07-18T21:16:23.917

2 Finding the irreducible representation of Kraus operators of a dephasing channel 2020-08-22T15:20:19.297

1 Kraus decomposition for non trace preserving operation: shouldn't we have $0 \leq \sum_k E_k^{\dagger} E_k \leq I$ 2020-01-01T20:59:35.073

1 How does qiskit finally implement a noise model? 2020-01-29T07:32:45.093

1 Affine Map of the Bloch sphere 2020-02-09T15:31:32.850

1 Prove that the partial trace is a quantum operation, finding its Kraus representation 2020-05-07T10:08:28.527

1 Prove that different Kraus decompositions are related through a unitary, using the Choi isomorphism 2020-12-06T13:07:58.103

1 Why does $\sum_n \langle n|M_m\rho M_m^\dagger|n\rangle$ simplify to $\langle \psi|M_m^\dagger M_m|\psi\rangle$? 2021-02-25T01:58:51.997

0 What is the Kraus representation of quantum-to-classical channels? 2020-07-17T12:42:36.430

0 Choi matrix in QETLAB 2020-10-14T14:58:11.037

0 Derivation of Equation $8.7$ in Nielsen Chuang 2021-02-19T16:40:23.437