Indefinite Causal Order: When
Cause-and-Effect Is No Longer Certain in the Quantum World
In classical physics, cause and effect are two concepts that always
follow a neat order. We are used to thinking that every event has a clear
chronological sequence. If someone flips a light switch, only then does the
lamp turn on — never the other way around. However, research in quantum physics
shows that at the deepest level of reality, this relationship can become more
flexible and even “blurred.”
Recent theoretical and experimental advances have led to a concept known
as indefinite causal order — a condition in which two quantum events do
not have a single, well-defined cause-and-effect sequence, but instead exist in
a “superposition of orders.” This is one of the most revolutionary
discoveries in the foundations of modern physics.
1. Cause-and-Effect Order in Classical Physics
In the macroscopic world, the order of events is always linear:
A → B → C
Example:
Button pressed → Electric current flows → Light turns on
This order is consistent, predictable, and forms the basis of classical
physical laws.
But in the quantum world, these rules can change.
2. Entering the Quantum Realm: When Order Is No Longer Fixed
In quantum systems such as photons and qubits, events do not have to
occur in a fixed sequence. Two quantum operations — for example, operation A
and operation B — can exist in a superposition state such that both occur as if
A happens before B and B happens before A simultaneously (Oreshkov et
al., 2012).
Illustration: Superposition of Order
Classical World
Fixed order:
A → B (or) B → A
Quantum World
Superposed order:
A → B
⤊ ⤋ (occurring simultaneously)
B → A
In other words, there is no single order that can be described as the
cause or the effect.
This phenomenon is not just theoretical — it has been demonstrated
experimentally using a quantum switch, an optical device that allows the
order of two quantum operations to exist in a superposition (Procopio et al.,
2015).
3. The Quantum Switch: The Heart of Indefinite Causal Order Research
The concept of a quantum switch can be explained simply:
1.
A photon
enters the device.
2.
The
photon undergoes two quantum operations (e.g., A and B).
3.
However,
the order of A and B is not determined.
4.
The
photon exits the device in a state representing a superposition of orders.
Illustration of the Quantum Switch
This experiment shows that a photon does not “choose” whether A happens
first or B. It does both in superposition.
4. Does This Mean Time Runs Backward?
No. Physicists emphasize that this phenomenon does not mean time flows
backward or that everyday causal relations collapse.
Why?
- Indefinite causal
order only occurs under highly controlled conditions.
- It applies only to
microscopic objects (photons, qubits).
- It does not apply to
macroscopic objects such as humans, cars, or balls.
As explained by the Stanford Encyclopedia of Philosophy, this
phenomenon is fully consistent with relativity and does not violate macroscopic
causality (SEoP, 2022).
5. Fundamental Implications for Physics
This phenomenon changes how we understand:
✔ The structure of time
✔ Cause-and-effect relationships
✔ The foundations of quantum mechanics
✔ The link between information and physical
reality
If cause-and-effect order can exist in superposition, then linear time
may not be a fundamental property of the universe — but instead an emergent
property that only appears at larger scales.
As described in Quanta Magazine, this phenomenon demonstrates a
flexibility in quantum causality that may provide crucial insights in the
search for a quantum theory of gravity (Wolchover, 2020).
6. Applications: More Efficient Quantum Computing
Research shows that indefinite causal order can enhance efficiency in
certain quantum information processing tasks (Rubino et al., 2017).
Key advantages include:
- Reducing the number
of quantum operation steps
- Saving computation
time
- Enabling new
algorithms impossible for classical computers
Illustration: Information Processing
Classical / Standard Quantum Computing:
Input → A → B → Output
With Indefinite Causal Order:
The system uses superposed order to solve problems faster.
7. Why Isn’t This Used in Everyday Technology Yet?
Because the phenomenon:
- Requires extremely
stable photons
- Needs high-precision
quantum laboratory setups
- Is highly sensitive
to environmental disturbances (decoherence)
- Cannot yet be scaled
to macroscopic systems
However, rapid progress continues, and in the coming decades this
phenomenon may become a key component of next-generation quantum computer
architectures.
CONCLUSION:
Pushing the Boundaries of Our Understanding of Causality
The phenomenon of indefinite causal order opens the door to reexamining
our understanding of reality. At the quantum level, the cause-and-effect order
we take for granted can exist in superposition. While this does not alter the
macroscopic world, it deepens our understanding of the universe’s underlying
structure.
More than a quantum oddity, this phenomenon could become the foundation
for more efficient quantum information technologies and a crucial clue in the
quest for a complete theory of quantum gravity.
These experiments remind us that at its deepest level, the universe is
far stranger — and far more astonishing — than we can imagine.
References
Goswami, K. et al. (2020). Indefinite Causal Order in Photonic
Systems. Physical Review Letters, 125, 123601.
Oreshkov, O., Costa, F., & Brukner, Č. (2012). Quantum
correlations with no causal order. Nature Communications, 3, 1092.
Procopio, L. M. et al. (2015). Experimental superposition of
orders of quantum gates. Nature Communications, 6, 7913.
Rubino, G., et al. (2017). Experimental verification of an
indefinite causal order. Science Advances, 3(3), e1602589.
Stanford Encyclopedia of Philosophy (2022). Causation in Quantum
Mechanics.
Wolchover, N. (2020). What It Means for Causality to Be Undefined.
Quanta Magazine.
Nature Physics (2019). Indefinite causal order and quantum
foundations.



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