As the building block in symmetric cryptography, designing Boolean functions satisfying multiple properties is an important problem in sequence ciphers, block ciphers, and hash functions. However, the search of nvariable Boolean functions fulfilling global cryptographic constraints is computationally hard due to the superexponential size O(2 2 n ) of the space. Here, we introduce a codification of the cryptographically relevant constraints in the ground state of an Ising Hamiltonian, allowing us to naturally encode it in a quantum annealer, which seems to provide a quantum speedup. Additionally, we benchmark small n cases in a D-Wave machine, showing its capacity of devising bent functions, the most relevant set of cryptographic Boolean functions. We have complemented it with local search and chain repair to improve the D-Wave quantum annealer performance related to the low connectivity. This work shows how to codify super-exponential cryptographic problems into quantum annealers and paves the way for reaching quantum supremacy with an adequately designed chip.Information security is of increasing concern involving in politics, military affairs, diplomacy, as well as in our daily life, where the security of communication systems plays a central role. Cryptography is important for the information security aiming at hiding the key information based on secure channels to defend against malicious parties.The symmetric cryptosystem, including stream ciphers and block ciphers, is a typical way of implementing the encryption and decryption with the same key so that the high communication efficiency and security lead to wide applications in military defense, finance, and society. The performance of core cryptographic components that offer high security as the filter model, the combiner model, and S-box relies on the availability of Boolean functions [1]. In fact, different cryptographic attacks [2, 3] require different properties such as, e.g., nonlinearity, balancedness, and correlation immunity.However, there is a tradeoff among different criteria and it remains a challenge to achieve the best tradeoff to date [4][5][6]. Resilience and high nonlinearity are two important criteria proposed versus (fast) correlation attacks and best affine approximation (BAA) attacks [7]. The properties of low-order resilient Boolean functions with high nonlinearity are important in stream ciphers. Although there exist several ways to find low-resilient and highly nonlinear Boolean functions, they may be limited by the search procedure of classical computers and the given functions with certain desired properties [8][9][10].Although the size of the 1-resilient Boolean function with high nonlinearity is exponentially smaller than 2 2 n , it is still difficult for classical computers in the sub-exponential space. It is necessary to find a new computing paradigm to explore * f.hu.the global properties of Boolean functions characterized in their exponential space.Quantum annealing [11] is an interesting alternative, and if the annealing prog...