Sooraj S's user avatar
Sooraj S's user avatar
Sooraj S's user avatar
Sooraj S
  • Member for 1 year, 2 months
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5 votes
1 answer
161 views

Derivation of efficiency of Phase Estimation Algorithm

4 votes
1 answer
142 views

Cost of Modular Exponentiation in Shor's algorithm

4 votes
0 answers
187 views

Prove a circuit with controlled $iR_x(\pi \alpha)$ is universal for quantum computation whenever $\alpha$ is irrational

4 votes
1 answer
184 views

Show that $E_k=(I\otimes\langle e_k|)U(I\otimes|e_0\rangle)$ implies $U=\begin{bmatrix}[E_1]&\cdots\\ [E_2]&\cdots\\\vdots&\ddots\end{bmatrix}$

3 votes
2 answers
164 views

Why does the $\chi$ matrix have $d^4-d^2$ independent parameters?

2 votes
2 answers
82 views

What is the Bloch sphere representation of $\rho\to\mathcal{E}(\rho) = |+\rangle\langle+|ρ|+\rangle\langle+| + |−\rangle\langle−|ρ|−\rangle\langle−|$?

2 votes
1 answer
63 views

Expansion of multi-qubit density matrix in the Pauli matrix basis

1 vote
1 answer
67 views

Number of independent parameters in $\chi$ matrix from the Choi matrix

1 vote
1 answer
52 views

Why is $\chi$ not uniquely determined by $\sum_{mn}\beta_{jk}^{mn}\chi_{mn}=\lambda_{jk}$?

1 vote
0 answers
118 views

Prove $\beta=\Lambda\otimes\Lambda$, where $\Lambda=\dfrac{1}{2}\begin{bmatrix}I&X\\X&-I\end{bmatrix}$ for single qubit tomography

1 vote
0 answers
40 views

Why is dual-rail encoding called an error-detecting code for amplitude damping?

1 vote
1 answer
123 views

Show the linearity of $(\langle a_m|\otimes I_B\otimes I_C\otimes \langle d_q|) U(I_{A}\otimes I_B\otimes |0_{C}\rangle\otimes |0_{D}\rangle)$

1 vote
1 answer
79 views

DFT like operation in the third step of Period finding and Discrete Logarithm algorithm

1 vote
1 answer
183 views

Hamiltonian Simulation Circuit for Grover's Search

1 vote
1 answer
75 views

Making sense of the terms Polynomial and Exponential Precision in a Quantum Circuit

1 vote
0 answers
26 views

$E(U_j,V_j)\leq\Delta/(2m)$ if probabilities of outcomes obtained from the approximate circuit is within a tolerance $Δ>0$

1 vote
1 answer
104 views

Prove $E(R_n(\alpha),R_n(\theta)^n)<\epsilon/3$ from $E\big(R_n(\alpha),R_n(\alpha+\beta)\big)=|1-\exp(i\beta/2)|$

1 vote
0 answers
222 views

Circuit to show that Hadamard, phase, controlled- and Toffoli gates are universal

1 vote
0 answers
46 views

Probability of the case when $r'\neq r$ and $r'$ is a factor $r$ in the order finding algorithm

0 votes
0 answers
55 views

Mathematical reasoning of Repeating the Phase Estimation in the Order Finding Algorithm

0 votes
1 answer
137 views

Equating the state of the Phase Estimation algorithm to $\frac{1}{2^{t/2}}\sum_{k=0}^{2^t-1} e^{2\pi i\phi k}|k\rangle$

0 votes
2 answers
172 views

CNOT gate an elementary example of a single qubit quantum operation

0 votes
0 answers
33 views

Accuracy of Classical Counting problem

0 votes
1 answer
334 views

Measurement of single qubit operator $U$ which is both Hermitian and unitary with eigenvalues $±1$

0 votes
1 answer
123 views

Kraus operators required for operations on $d$ dimensional Hilbert space

0 votes
0 answers
81 views

Affine map of single qubit quantum operations