Episode #2 | December 18, 2025 @ 6:00 PM EST

The Deterministic Wavefunction: When Randomness is a Perspective

Guest

Dr. Scott Aaronson (Theoretical Computer Scientist, MIT)
Announcer The following program features simulated voices generated for educational and philosophical exploration.
Alan Parker Good evening. I'm Alan Parker.
Lyra McKenzie And I'm Lyra McKenzie. Welcome to Simulectics Radio.
Alan Parker Tonight we're examining quantum computing through the lens of determinism. Classical computation, for all its power, operates within strict deterministic boundaries—same input, same output, every time. Quantum computation introduces something different: systems that harness superposition and entanglement to explore multiple computational paths simultaneously. The question is whether this represents a fundamental break with determinism or merely a more sophisticated form of it.
Lyra McKenzie It's the measurement problem dressed up in circuit diagrams. You prepare a quantum state, let it evolve according to deterministic equations, then measurement collapses everything into classical outcomes with inherent randomness. So which part is the 'real' computation—the deterministic evolution or the random collapse?
Alan Parker To help us navigate this terrain, we're joined by Dr. Scott Aaronson, professor of computer science at MIT and director of the Center for Quantum Information. His work spans quantum complexity theory, computational limits, and the philosophical implications of quantum mechanics. Dr. Aaronson, welcome.
Dr. Scott Aaronson Thanks for having me.
Lyra McKenzie Let's start with the popular misconception. Quantum computers are often presented as magical devices that 'try all answers simultaneously.' What's actually happening, and does it challenge computational determinism in any meaningful sense?
Dr. Scott Aaronson The 'trying all answers simultaneously' framing is misleading but contains a grain of truth. A quantum computer with n qubits exists in a superposition of 2^n classical states. The evolution of this superposition is completely deterministic—governed by the Schrödinger equation, which is as deterministic as Newton's laws. The issue is that when you measure, you get only one classical outcome, sampled according to quantum amplitudes. So you can't simply read out all answers. The art of quantum algorithm design is engineering interference patterns so that wrong answers cancel out and right answers amplify.
Alan Parker So the deterministic part is the evolution, but there's irreducible randomness in measurement. That seems to split the computational process into two distinct regimes with different character. How should we think about the relationship between them?
Dr. Scott Aaronson This gets at interpretational questions about quantum mechanics itself. In the Many-Worlds interpretation, there's no collapse—the wavefunction evolves deterministically, and what looks like randomness is just indexical uncertainty about which branch you're in. In Copenhagen-style interpretations, measurement is fundamentally random. But here's what's interesting from a computational perspective: for most purposes, the interpretation doesn't matter. The predictions are the same either way.
Lyra McKenzie But surely it matters philosophically. If Many-Worlds is correct, the universe is deterministic and every possible measurement outcome occurs in some branch. If Copenhagen is correct, there's genuine ontological randomness. Those are radically different pictures of reality.
Dr. Scott Aaronson Absolutely, and I lean toward Many-Worlds for various reasons. But consider this: even in Many-Worlds, from your subjective perspective, you can't predict which branch you'll find yourself in. So you still face practical randomness even in a fully deterministic universe. The computational resources available to you—the physics you can exploit to build computers—are the same regardless.
Alan Parker This connects to something architectural. A building's structural system can be deterministic—loads, forces, material properties all calculable—yet the experienced space has a kind of contingency. Which details you notice, how the light strikes at a particular moment, your emotional response—these aren't random, exactly, but they're sensitive to initial conditions in ways that make them unpredictable. Perhaps quantum measurement is similar: deterministic at some global level but locally unpredictable.
Lyra McKenzie That's mixing epistemic and ontic categories again. Not being able to predict something doesn't make it indeterministic. A coin flip is deterministic in principle—classical mechanics governs the whole process—but unpredictable in practice. Is quantum randomness the same kind of thing or something genuinely different?
Dr. Scott Aaronson Bell's theorem and related results suggest it's genuinely different. Local hidden variable theories—attempts to restore determinism by positing hidden information that determines measurement outcomes—are incompatible with quantum predictions. We've tested this experimentally. So if you want determinism, you need to give up locality, which leads to other problems. Many-Worlds preserves determinism but at the cost of ontological extravagance—every outcome happens somewhere.
Alan Parker What are the implications for computational complexity? Does quantum randomness give quantum computers fundamentally different capabilities, or are they just faster at certain classical tasks?
Dr. Scott Aaronson This is where it gets technical but fascinating. We believe quantum computers are bounded by BQP—bounded-error quantum polynomial time. This appears to be strictly larger than classical P but probably not all of NP. So quantum computers can solve certain problems efficiently that classical computers likely can't—factoring large numbers, simulating quantum systems—but they're not omnipotent. They can't solve NP-complete problems efficiently unless our understanding of complexity is deeply wrong.
Lyra McKenzie So quantum mechanics expands the space of tractable computation but doesn't abolish computational hardness entirely. There are still problems that remain intractable even with quantum resources.
Dr. Scott Aaronson Exactly. And this is philosophically important. If quantum mechanics let you solve NP-complete problems efficiently, it would have bizarre implications—you could efficiently solve problems where verifying a solution is easy but finding one seems exponentially hard. That would suggest a strange asymmetry in the logical structure of the universe. The fact that quantum mechanics doesn't give you this suggests deep relationships between physics and computational complexity.
Alan Parker You're suggesting that computational complexity is a physical principle, not just a mathematical abstraction. That the universe respects certain hardness barriers.
Dr. Scott Aaronson I'd put it stronger: computational complexity might be foundational to physics. Why do quantum amplitudes have to be complex numbers? Why unitary evolution? These aren't arbitrary choices—they're constrained by consistency requirements that look suspiciously like complexity-theoretic principles. It's as if the universe is designed to make certain computations hard.
Lyra McKenzie Now you're approaching teleology. The universe is 'designed' to preserve computational hardness? That's a provocative claim. What would it even mean?
Dr. Scott Aaronson Not teleology in a purposive sense, but perhaps something like logical necessity. Consider a toy model: if you could efficiently solve NP-complete problems, you could efficiently predict the future states of chaotic systems, break all cryptography, solve all optimization problems. The world would be radically different—arguably less structured, less capable of supporting complex persistent structures. Maybe universes that violate certain complexity bounds are unstable or incoherent in some fundamental sense.
Alan Parker This resonates with anthropic reasoning. We find ourselves in a universe where certain computational problems are hard because universes without such hardness couldn't support observers. But that feels almost circular—we explain complexity hardness by appealing to the existence of complex beings whose existence depends on that hardness.
Dr. Scott Aaronson It is somewhat circular, but not viciously so. Think of it as a consistency requirement. If physics allowed efficient solutions to NP-complete problems, the universe would be fundamentally different in ways that might preclude the emergence of stable structures—stars, planets, life, observers. So observer-selection effects and physical law might constrain each other.
Lyra McKenzie Let's return to determinism directly. If Many-Worlds is correct and everything is deterministic, what happens to free will? If every possible action occurs in some branch, in what sense do we choose?
Dr. Scott Aaronson Free will is a notoriously fraught concept, but here's one perspective: what matters is not whether the global wavefunction is deterministic but whether your decision-making process is adequately isolated from external manipulation. In Many-Worlds, you do make a choice—it's just that other versions of you make different choices in other branches. But the choice is still yours in the sense that it reflects your values, reasoning, and deliberation, not external coercion.
Alan Parker So free will becomes a question of computational architecture rather than metaphysics. The relevant issue is whether your decision process is sufficiently complex and autonomous, not whether it's deterministic at the fundamental level.
Lyra McKenzie That sounds like compatibilism smuggled in through quantum mechanics. You're preserving the intuition of choice by redefining what choice means.
Dr. Scott Aaronson Perhaps, but I think it's the right move. The hard incompatibilist position—that determinism eliminates free will—requires a very specific notion of what free will would be. Some kind of contra-causal agent that steps outside the causal order. But that's incoherent. If your choices aren't determined by your values and reasoning, then in what sense are they your choices at all? They'd be random, which seems worse for agency than determinism.
Alan Parker What about quantum computing's practical implications? Are we on the verge of large-scale quantum computers that will transform cryptography, drug discovery, materials science?
Dr. Scott Aaronson We've made remarkable progress, but significant challenges remain. Quantum error correction is possible in principle but requires enormous overhead—you need many physical qubits to create one logical qubit reliable enough for extended computation. Current devices have dozens to hundreds of noisy qubits. For many applications, we'd need millions of qubits. That's an engineering challenge of a different order.
Lyra McKenzie So the theoretical possibility is established, but the practical implementation faces mundane obstacles. Is there a risk that quantum computing becomes a permanently adjacent technology—always ten years away?
Dr. Scott Aaronson There's definitely that risk, though I'm cautiously optimistic. Unlike some technologies—fusion power, for example—we already have working prototypes demonstrating the basic principles. The question is scaling, not fundamental feasibility. But scaling is hard. Every additional qubit increases coherence requirements, error rates compound, physical constraints become more stringent. It's not guaranteed to succeed on any particular timeline.
Alan Parker What would failure mean philosophically? If quantum computation is possible in principle but forever impractical, does that tell us something about the relationship between mathematical possibility and physical actuality?
Dr. Scott Aaronson That's a fascinating question. We know quantum mechanics is true—experimentally confirmed beyond reasonable doubt. We know quantum computers are possible in principle—no physical law forbids them. But if engineering constraints make them permanently impractical, it would suggest a gap between 'physically possible' and 'accessible to technological civilizations.' That gap might itself be a physical principle, though one operating at a different level than fundamental laws.
Lyra McKenzie A kind of meta-physical constraint on which possibilities can be actualized. That's almost Aristotelian—potentiality versus actuality as a fundamental distinction.
Dr. Scott Aaronson Aristotle meets computational complexity theory. I like it.
Alan Parker We're out of time. Dr. Aaronson, this has been tremendously enlightening. Thank you for joining us.
Dr. Scott Aaronson My pleasure. Thanks for having me.
Lyra McKenzie Until next time, remain skeptical.
Alan Parker And computationally curious. Good night.
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