Tag: information-theory

13 Can we combine the square roots inside the definition of the fidelity? 2020-02-18T02:10:08.980

10 Violation of the Quantum Hamming bound 2018-05-15T08:16:16.503

10 Proof of an Holevo information inequality 2018-05-25T17:48:26.070

9 How many classical bits are needed to represent a qubit? 2020-03-13T14:45:02.853

7 Entanglement-assisted hashing bound for asymmetric depolarizing channels 2019-09-30T15:10:18.837

7 If quantum computing always return random measurement (or uncertain measurement), why do we still need it? 2021-01-25T15:35:38.043

7 Does the no-hiding theorem suggest that quantum information is never destroyed? 2021-01-28T01:13:28.310

6 In Bell nonlocality, why does $P(ab|xy)\neq P(a|x)P(b|y)$ mean the variables are not statistically independent? 2018-11-14T06:44:34.750

6 Quantum relative entropy with respect to a pure state 2020-10-14T17:32:58.323

5 What does it mean to take the Choi-Jamiolkowski of a quantum channel? 2020-04-16T22:29:17.530

5 Prove that for one-qubit unitaries $\text{Tr}|U-V|=2\max_\psi\|(U-V)|\psi\rangle\|$ 2020-05-04T00:25:25.527

5 Connection between smooth max-relative entropy and smooth max-information 2020-09-04T19:01:43.567

5 Prove that Shannon and von Neumann entropies satisfy $H(P)\ge S(\rho)$ with $P$ diagonal of $\rho$ 2020-09-05T14:36:45.233

5 Relative entropy inequality for many copies of a channel 2020-10-13T14:17:41.183

5 What is the difference between no signaling and non locality at operational and ontological level? 2020-10-17T07:22:09.033

5 Closeness of purifications of states 2020-11-21T16:15:59.580

5 Stinespring dilation: Size of environment 2020-12-10T19:20:42.570

5 Prove that the conditional entropy of a classical-quantum state is non-negative 2020-12-16T23:12:23.613

4 What are good resources for newcomers on entropy measurements? 2020-03-09T21:41:06.977

4 Schumacher compression - comparing with Shannon compression 2020-04-24T22:27:54.187

4 Mutual information of Choi state=0, what would that imply about the quantum channel? 2020-06-18T13:31:47.693

4 Definition of quantum min-relative entropy 2020-07-16T23:07:15.210

4 How can the Holevo bound be used to show that $n$ qubits cannot transmit more than $n$ classical bits? 2020-08-01T17:48:20.857

4 Can classical linear algebra solvers implement quantum algorithms with similar speed-ups? 2020-08-16T02:56:43.137

4 Non-lockability of quantum max-entropy 2020-09-23T16:43:39.673

4 Alternative definition of the coherent information of a quantum channel 2020-10-27T12:25:23.427

4 Does the quantum Jensen-Shannon divergence appear in any quantum algorithms or texts on quantum computing? 2020-11-03T11:59:55.643

4 Question about Haar random quantum states 2020-11-21T13:26:16.810

4 A question in classical and quantum information 2020-12-19T14:40:45.083

4 Calculating the entropy of a quantum state 2021-01-08T09:25:10.673

4 Average secret key rate calculation 2021-01-19T11:44:48.187

4 Why do probablity distribution with orthogonal suppor have maximal Kolmogorov distance? 2021-01-28T10:25:13.030

3 How do I compute the Relative Entropy between pure and mixed states? 2019-09-27T22:00:42.467

3 Questions on the max-relative entropy $D_{\max}(\rho||\sigma)$ 2020-03-25T19:30:31.677

3 Nielsen and Chuang ex 2.73 2020-04-17T18:42:32.873

3 How can one estimate the von Neumann entropy of an unknown quantum state? 2020-09-01T15:56:36.683

3 The proof of monotonicity of fidelity for channels and its meaning 2020-10-08T07:08:35.167

3 Checking whether a state is almost orthogonal to permutation invariant states 2020-10-18T08:59:06.667

3 Quantum marginal problem - constructing a global state from reduced states 2020-10-21T20:04:12.460

3 Teleportation followed by measurement: Lowering communication cost 2020-11-09T12:02:04.043

3 Fidelity of extensions of states 2020-12-02T17:02:35.220

3 Pure state ensembles achieving the Holevo $\chi$-quantity with at most $d^2$ states 2020-12-26T23:05:25.677

3 How is the connection between Bures fidelity and quantum Fisher information derived? 2021-01-31T11:56:16.570

2 Convexity of coherent information - erroneous argument! 2020-01-23T17:42:07.787

2 Quantum state discrimination and lower bound for conditional von Neumann entropy 2020-01-26T23:52:18.620

2 Continuity bounds on $D_{\max}(\rho_{AB}\|\rho_A\otimes\rho_B)$ 2020-04-12T00:06:15.013

2 What is the Von Neumann entropy of $\rho = \sum_ip_i|i\rangle\langle i| \otimes \rho_i$? 2020-04-21T04:26:27.850

2 How is a bit field represented in Quantum Computing? 2020-07-28T08:00:22.143

2 What is the relationship between these two definitions for the max-entropy? 2020-10-24T00:00:35.917

2 von Neumann entropy in a limiting case 2020-10-24T16:29:52.203

2 Is "classical information" the same as "Shannon information"? 2020-10-28T02:50:11.087

2 Wheeler's "information theoretic" derivation of quantum information 2020-10-28T03:10:28.367

2 Relating quantum max-relative entropy to classical maximum entropy 2020-10-28T04:07:36.207

2 Quantum analogues of information theoretic measures: are log probabilities replaced with the density matrix? 2020-10-29T00:56:26.600

2 Pseudoinverse of a quantum state 2020-10-30T16:29:13.860

2 Positive conditional quantum entropy for entangled state 2020-11-16T02:50:39.403

2 Diamond norm distance bound on Stinespring dilations of channels 2020-11-16T15:17:20.193

2 What is meant with "reconciliation" in CV QKD? 2020-11-17T08:33:28.900

2 What is the Stinespring representation of the adjoint of a channel? 2020-11-17T19:08:15.823

2 Additivity of Renyi entropy 2020-12-15T19:38:57.077

2 When is the Choi matrix of a channel pure? 2020-12-18T18:41:21.340

2 If Alice and Bob share only classical communication resources, is shared entanglement always equivalent to shared randomness? 2021-01-21T05:06:45.507

2 Deriving the depolarizing channel 2021-02-06T16:21:23.223

2 Is the quantum state discrimination success probability always $\lambda_0\langle\mu(0),\rho_0\rangle+\lambda_1\langle\mu(1),\rho_1\rangle$? 2021-02-24T18:42:57.817

1 Entropy of a shared state as measured by the individual parties 2019-11-27T10:41:05.923

1 Impossibility of QRAC with random question, or more general proof of impossibility 2020-03-30T20:36:23.273

1 Prove that for a general tri-partite state $\rho_{ABE}$, $H(AB) = H(E)$ 2020-11-16T00:01:46.130

0 Entanglement entropy's role in quantum information 2019-12-11T01:00:57.923

0 Can every process in nature be simulated by a Turing Machine or a quantum computer? 2020-04-24T01:23:36.707

0 In classical state discrimination, why does the trace distance quantify the probability of success? 2021-02-10T18:23:59.283