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A quantum oracle separation between QMA(2) and QMA
John Bostanci, Sabee Grewal, Jonas Haferkamp +4
We find a quantum oracle relative to which . As a consequence, we resolve the no-disentanglers conjecture of Watrous: for every , any $(ε,…
Depth-1 expanders on the unitary group and applications
Anurag Anshu, Shankar Balasubramanian, Jonas Haferkamp +2
We construct a constant-degree and constant-gap quantum expander on qubits where each unitary can be implemented by a depth- and 1D circuit of Pauli or CNOT gates. We provid…
Quantum repeater segment with free-space coupled co-trapped ions using telecom photon interference
Max Bergerhoff, Pascal Baumgart, Christian Haen +5
A quantum repeater segment is a basic building block of a quantum repeater, generating buffered entanglement of quantum memories to connect quantum repeater cells. It also enables…
Information-Computation Gaps in Quantum Learning via Low-Degree Likelihood
Sitan Chen, Weiyuan Gong, Jonas Haferkamp +1
In a variety of physically relevant settings for learning from quantum data, designing protocols that can computationally efficiently extract information remains largely an art, an…
On the sample complexity of purity and inner product estimation
Weiyuan Gong, Jonas Haferkamp, Qi Ye +1
We study the sample complexity of the prototypical tasks quantum purity estimation and quantum inner product estimation. In purity estimation, we are to estimate of an un…
On the complexity of unique quantum witnesses and quantum approximate counting
Anurag Anshu, Jonas Haferkamp, Yeongwoo Hwang +1
We study the long-standing open question on the power of unique witnesses in quantum protocols, which asks if , a variant of whose accepting witn…