735 citations · 2.2k across the 34 of their papers we have counts for
34 papers
Smooth min-entropy lower bounds for approximation chains
Ashutosh Marwah, Frédéric Dupuis
For a state , we call a sequence of states an approximation chain if for every , $ρ_{A_1^k B} \approx_εσ_{A_1^k B}^{(k)}…
Fiat-Shamir for Proofs Lacks a Proof Even in the Presence of Shared Entanglement
Frédéric Dupuis, Philippe Lamontagne, Louis Salvail
We explore the cryptographic power of arbitrary shared physical resources. The most general such resource is access to a fresh entangled quantum state at the outset of each protoco…
Formalized functional analysis with semilinear maps
Frédéric Dupuis, Robert Y. Lewis, Heather Macbeth
Semilinear maps are a generalization of linear maps between vector spaces where we allow the scalar action to be twisted by a ring homomorphism such as complex conjugation. In part…
Uniform continuity bound for sandwiched Rényi conditional entropy
Ashutosh Marwah, Frédéric Dupuis
We prove a simple uniform continuity bound for the sandwiched Rényi conditional entropy for , which is independent of the dimension of the condition…
Privacy amplification and decoupling without smoothing
Frédéric Dupuis
We prove an achievability result for privacy amplification and decoupling in terms of the sandwiched Rényi entropy of order ; this extends previous results which worked…
Polarization of Quantum Channels using Clifford-based Channel Combining
Frédéric Dupuis, Ashutosh Goswami, Mehdi Mhalla +1
We provide a purely quantum version of polar codes, achieving the symmetric coherent information of any qubit-input quantum channel. Our scheme relies on a recursive channel combin…