Tag: pauli-gates

15 Obtaining gate $e^{-i\Delta t Z}$ from elementary gates 2018-04-22T17:24:34.220

12 Simulate hamiltonian evolution 2019-02-14T10:01:57.727

11 Is the Pauli group for $n$-qubits a basis for $\mathbb{C}^{2^n\times 2^n}$? 2018-07-11T08:12:01.023

10 How to construct matrix of regular and "flipped" 2-qubit CNOT? 2019-01-11T08:33:10.977

9 Is there a simple rule for the inverse of a Clifford circuit's stabilizer table? 2018-09-24T02:13:59.120

8 Fast way to check if two state vectors are equivalent up to Pauli operations 2019-02-10T23:17:38.943

8 How do I prove that the Hadamard satisfies $H\equiv e^{i\pi H/2}$? 2019-10-22T21:42:34.990

8 Can arbitrary matrices be decomposed using the Pauli basis? 2019-11-09T12:43:20.377

7 Why is the decomposition of a qubit-qutrit Hamiltonian in terms of Pauli and Gell-Mann matrices not unique? 2018-05-27T05:41:03.770

6 How to compute the average value $\langle X_1 Z_2\rangle$ for a two-qubit system? 2018-04-10T18:24:33.557

6 What are boost and shift operators and why are they called so? 2020-06-08T13:10:53.070

5 Where is the factor of $-i$ in rotation gates coming from? 2019-03-08T05:25:31.987

5 How do physical implementations of Z gate selectively affect $\lvert1\rangle $ basis vector? 2019-05-30T04:41:32.467

5 Definition of the Pauli group and the Clifford group 2019-07-14T23:05:55.423

5 Can there be multiple energy eigenstates corresponding to the same eigenvalue of a Hamiltonian (Pauli-X)? 2019-08-04T16:58:45.123

5 What is the difference between the action of $Z$ and $\exp(-i Z t)$ on a state? 2020-01-29T13:46:17.253

5 How is the ground state of a Hamiltonian defined? 2020-04-13T22:18:23.327

5 How to create the state $\vert 0 \rangle+i \vert 1 \rangle$ using elementary gates? 2021-01-18T16:15:06.850

5 How to generalize the relationship HXH = Z for higher dimensions 2021-01-27T23:37:36.143

4 Shorthand notation for the sign flip gate 2018-07-28T09:05:06.463

4 How are arbitrary $2\times 2$ matrices decomposed in the Pauli basis? 2019-07-28T15:12:03.840

4 Physical Interpretation of Pauli Matrices as Polarization Check 2019-10-09T22:15:27.507

4 Matrix Index and multiplication rules for Hermitian Pauli group products 2019-10-20T11:58:22.907

4 How does a single-qubit gate affect other qubits? 2019-11-01T20:50:33.007

4 Expectation Value of Stabilizer 2019-11-14T16:37:59.750

4 controlled-Z rotation gates in symmetrical fashion 2020-08-31T17:09:03.890

4 CNOT expressed with CZ and H gates by taking into account HZH =X 2020-09-17T06:52:49.807

4 Single-qubit rotations on a subspace within two-qubit unitary 2021-01-15T00:19:53.463

4 If the eigenvalues of $Z$ are $\pm1$, why are the computational basis states labeled with "$0$" and "$1$"? 2021-01-31T21:04:31.193

3 Rotation operator on Pauli parity gates $XX$, $YY$ and $ZZ$ 2019-03-08T08:41:29.750

3 How does the actual measurement collapsing an error to an orthogonal basis look like? 2019-03-13T01:24:54.743

3 Expressing CNOT in the eigenbasis of $X$ (Preskill lecture notes eq. 7.6) 2019-06-05T01:08:00.217

3 Stabilizer state QFI lower limit query 2019-10-18T12:41:39.357

3 Intuitive link between clifford group and gottesman-knill theorem 2019-12-20T11:39:16.600

3 Generate the state $\frac{-|0\rangle + |1\rangle}{\sqrt{2}}$ with qiskit: problem with Pauli-Z behavior 2020-02-11T10:12:09.320

3 Similarity Transformations on Pauli Operators in 2-qubit states (eq. 11 - Farhi's QNN Paper) 2020-03-09T00:39:04.637

3 Why can I apply $HS^\dagger$ and then measure in the computational basis to measure $Y$? 2020-05-01T00:24:31.153

3 VQE: Can I build a non-hermitian Hamiltonian with just Pauli matrices? 2020-05-25T17:21:18.083

3 Can you take infinitely many square roots of Pauli-X? 2020-08-16T19:42:16.393

3 Benefit of phase shift in quantum computing 2020-10-07T17:58:57.197

3 How does adding an identity to an Hamiltonian affect the corresponding time-evolution in the Bloch sphere? 2020-11-03T05:56:48.520

3 How can I simulate Hamiltonians composed of Pauli matrices? 2020-11-06T03:55:49.567

3 Simulate Hamiltonians with Pauli operations (controlled time evolution) 2020-11-11T23:44:54.610

3 Definitions of $D_y$ gate in Hamiltonian simulation: are they the same? 2020-11-16T04:24:55.063

2 Expected value of a product of the Pauli matrices in different bases 2019-08-19T09:23:21.500

2 The solution when we transmit a qubit through a Pauli channel? 2019-10-03T11:32:37.647

2 How to get specific state applying $e^{-i\phi \sigma_2/2}$ to $|0\rangle$ or $|1\rangle$? 2019-12-06T19:41:52.013

2 What does the notation $\sigma_j^z$ mean for Pauli matrices? 2020-04-01T18:20:11.923

2 Gate Y returns wrong phase in IBM's circuit composer 2020-04-02T14:07:30.340

2 Question Regarding Simulating Hamiltonian With Quantum Circuit 2020-04-26T05:15:34.430

2 Qiskit flipped representation of qubits in CNOT gate? 2020-04-26T13:14:02.593

2 Example of Hamiltonian decomposition into Pauli matrices 2020-05-07T18:54:14.363

2 Confusion about the state of a system after a measurement 2020-05-22T09:46:38.053

2 What would the CHSH inequality be equal to if the two qubits were separable? 2020-05-28T06:47:22.800

2 Generalized set of Pauli elements for a basis for the linear transformations on the vector space 2020-05-29T21:00:15.010

2 Why do we transform a Boolean variable into a a Pauli Z matrix 2020-06-08T21:31:24.203

2 Is there a function in Qiskit to measure tensor products of Pauli operators? 2020-08-19T01:39:17.257

2 Can QAOA be considered as simulation of a quantum annealer on a gate-based quantum computer? 2020-10-06T14:04:29.787

2 Transforming $|01 \rangle + |10 \rangle - |11 \rangle \to |01 \rangle - |10 \rangle + |11 \rangle$ 2020-11-08T13:42:32.530

2 Qiskit PauliWeightedOperator in the matrix representation? 2020-12-29T21:10:25.133

2 How to find the normalization factor of the eigenvectors of the $\sigma_x$ Pauli gate? 2021-01-11T05:38:25.367

1 How does the stated Pauli decomposition for $\operatorname{CP\cdot A\cdot CP}$ arise? 2018-10-19T11:41:26.370

1 CRZ and CRY Gates 2019-07-05T02:47:36.373

1 Effect of Pauli X gate on minus state using bloch sphere 2020-05-09T14:49:48.507

1 What kind of transformation does the Y-gate do on the bloch sphere? 2020-05-10T17:50:26.643

1 How to build a circuit for simulation of a simple Hamiltonian? 2020-05-13T10:23:12.693

1 What do coupling coefficients mean in terms of Pauli gates, and why are they time dependent? 2020-06-04T18:10:21.710

1 Changing the Basis 2020-08-25T20:35:36.073

1 Principal square root of Pauli Y gate in Qiskit? 2020-09-01T01:04:42.567

1 In Variational Quantum Eigensolvers, what does "grouping Pauli operators into tensor products requiring the same post-rotations" mean? 2020-09-26T19:29:46.273

1 How do I visualize the action of Pauli $X$ and $Y$ gates on $|0\rangle$? 2020-10-05T04:32:09.550

1 How can I verify that the Pauli group is a group? And is it abelian? 2020-11-24T03:47:38.653

1 How do I create an inverse identity gate? 2020-11-24T07:31:58.783

1 Understanding the EPR argument with a simple description using Pauli matrices 2020-12-11T22:04:30.497

1 Is there a different way to represent Pauli gates in X basis? 2021-02-18T06:57:44.667

1 Decomposing Matrices in terms of Pauli Matrices 2021-02-27T20:29:03.237

0 Should a Pauli $X$ matrix equal the identity matrix to be unitary? 2019-09-09T18:40:51.597

0 Qubit in a mix sin/cosine state 2020-03-26T23:38:42.683

0 Cannot interpret transformations on the bloch sphere as matrix multiplications 2020-05-11T17:18:15.920

0 Iterative qubit coupled cluster (iQCC) ansatz (Efficient screening procedure) 2020-05-25T16:43:21.607

0 Quick question about Two-qubit SWAP gate from the Exchange interaction 2020-11-17T12:48:46.570

0 What is the procedure of finding z-y decomposition of unitary matrices? 2021-02-28T00:36:16.973

-1 Representation of bell state in $σ_y$ eigenstates 2021-02-16T03:18:50.457

-2 Is $M = a \mathbb{I} - ib \sigma_Z$ a valid representation in terms of logic gates? 2019-08-26T11:55:45.690