Quantum hypothesis testing

Can a fully general adaptive strategy attain a larger Stein exponent than every nested-adaptive strategy for discriminating two quantum superchannels?

• Quantum metrology
• Channel discrimination
• Quantum hypothesis testing
• Superchannels and quantum combs

Can nested-adaptive strategies improve the Stein exponent for discriminating two finite-dimensional quantum superchannels?

• Quantum metrology
• Channel discrimination
• Quantum hypothesis testing
• Superchannels and quantum combs

Let \(\mathcal N,\mathcal M:\mathcal L(A)\to\mathcal L(B)\) be quantum channels on finite-dimensional systems.

• Quantum metrology
• Quantum Communication
• Channel discrimination
• Quantum hypothesis testing
• Quantum relative entropy
• Strong converses

Let \(\mathcal N:\mathcal L(A)\to\mathcal L(B)\) be a finite-dimensional quantum channel.

• Quantum Resource Theory
• Quantum metrology
• Quantum hypothesis testing
• Channel discrimination
• Quantum relative entropy

For every \(d\geq3\), do the standard CGLMP Fourier–phase measurements maximize the relative-entropy statistical strength against local realism among all projective \(d\)-outcome measurements on the fixed state \(\lvert\Phi_d\rangle=d^{-1/2}\sum_{j=0}^{d-1}\lvert j,j\rangle\), when the setting distribution is also optimized?

• Quantum Resource Theory
• Quantum metrology
• Bell nonlocality
• Quantum hypothesis testing

Let \(H\) be a \(d\)-dimensional Hilbert space.

• Quantum Resource Theory
• Quantum Communication
• Quantum hypothesis testing
• Quantum relative entropy
• One-shot and finite-blocklength bounds