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Cryptography with Certified Deletion

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Constructs public key encryption and many advanced primitives that produce a classical ciphertext plus a quantum register of BB84 conjugate encodings, where deletion is a concrete operation: measure the qubits in the Hadamard basis, return the outcomes as a certificate and the scheme checks them, i.e. measure-in-Hadamard deletion. Security proof purifies to EPR halves and uses a computational switch plus an efficiently checkable predicate on the challenger side, exploiting EPR-pair purification to show information theoretic erasure; extensions yield CCA, obfuscation, FHE and LWE/SIS based publicly verifiable deletion.

AI-written summary · about

  1. 0:00Introduction to the topic
  2. 2:00Defining certified deletion
  3. 5:03Applications and primitives
  4. 8:46Related and concurrent work
  5. 12:42Quantum background
  6. 16:21Revocable secret sharing
  7. 23:45Encryption construction
  8. 31:41Security proof strategy
  9. 41:53Advanced results and conclusion
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