Channel discrimination

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

Does amortization collapse for the max-relative entropy and geometric Rényi divergence of arbitrary finite-dimensional quantum superchannels?

• Quantum metrology
• Quantum Communication
• Channel discrimination
• Quantum relative entropy
• 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