By Matthew Robshaw, Jonathan Katz
The 3 volume-set, LNCS 9814, LNCS 9815, and LNCS 9816, constitutes the refereed court cases of the thirty sixth Annual foreign Cryptology convention, CRYPTO 2016, held in Santa Barbara, CA, united states, in August 2016.
The 70 revised complete papers awarded have been rigorously reviewed and chosen from 274 submissions. The papers are geared up within the following topical sections: provable safeguard for symmetric cryptography; uneven cryptography and cryptanalysis; cryptography in concept and perform; compromised platforms; symmetric cryptanalysis; algorithmic quantity thought; symmetric primitives; uneven cryptography; symmetric cryptography; cryptanalytic instruments; hardware-oriented cryptography; safe computation and protocols; obfuscation; quantum options; spooky encryption; IBE, ABE, and practical encryption; computerized instruments and synthesis; 0 wisdom; theory.
Read Online or Download Advances in Cryptology – CRYPTO 2016: 36th Annual International Cryptology Conference, Santa Barbara, CA, USA, August 14-18, 2016, Proceedings, Part III PDF
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Extra info for Advances in Cryptology – CRYPTO 2016: 36th Annual International Cryptology Conference, Santa Barbara, CA, USA, August 14-18, 2016, Proceedings, Part III
Proof. Our description will consist of three steps. Dec as a width-5 permutation branching program, of which the instructions alternately depend on the secret key sk and on the ciphertext a. Secondly, we specify how to transform these instructions into a gadget which almost works correctly, but for which the qubit ends up at an unknown location. Finally, we complete the construction by executing the inverse program, so that the qubit ends up at a known location. The ﬁrst part follows directly from Barrington’s theorem.
After the ﬁnal instruction of the branching program, σL , also perform an inverse phase gate P† on the qubits labeled as 2L,out , 3L,out , 4L,out , 5L,out . Execution of the gadget will teleport the qubit through one of these whenever a = 1. GenMeasurement(a) will be given by the odd instructions, which depend on the bits of a. Again, for all odd ≤ L, let ai be the permutation given by the evaluation of instruction on a. For σ := σ all strictly greater than one, the measurement instructions will be: perform a Bell measurement according to the permutation σ between the ‘out’ qubits of the previous set, and the ‘in’ qubits of the next.
Alice’s goal is to guess the two bits. Clearly, A alone is useless, and thus a semi-adaptive Alice having access to A has a guessing probability of at most 14 . On the other hand, adaptive Alice can guess them with certainty by doing a Bell measurement on AA . However, Proposition 1 does generalize to the conditional version in case of a classical A . Proposition 2. For any state ρZAB with classical Z: acc acc Imax (B; A|Z)ρ ≤ max Imax (B; A)ρz ≤ H0 (A)ρ . z acc An additional property of Imax is that quantum operations that are in tensor product form on registers A and B cannot increase the max-accessibleinformation.