She majored in mathematics at Princeton University,[11] and became intrigued by the possibilities of quantum computing through a junior-year seminar on cryptography given by Andrew Wiles, in which she learned of the ability of quantum computers using Shor's algorithm to break the RSA cryptosystem.

[10] She completed her Ph.D. in 2006 at Columbia University, with highest distinction, under the joint supervision of Alfred Aho and Joseph F. Traub.

Her dissertation was Software Tools and Failure Thresholds for Reliable, Scalable, Fault-tolerant Quantum Computation.

[15] She was named a Fellow of the American Physical Society in 2023, "for advancing the development of software architectures and empowering quantum scientists through leadership to design practical and impactful algorithms".

[16] In 2022, Svore was elected as a fellow of the Washington State Academy of Sciences for "advancing the field of computing through the development of new programming languages and algorithms for quantum computing, including pioneering work on arithmetic and machine learning operations on quantum computers, and for foundational contributions to the integration of machine learning into the development of scalable methods for web search.